kilobytes = 95.8654662545562 q = 3 m = 7 n = 1656 s = 0 t = 28 u = 56 k = 1264 w = 42 ciphertext = [1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1] recovered_plaintext_using_secret_key = True pubkeycol392 = [1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol393 = [2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2] pubkeycol394 = [0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol395 = [2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol396 = [2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2] pubkeycol397 = [2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2] pubkeycol398 = [2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol399 = [2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol400 = [0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol401 = [0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol402 = [1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol403 = [1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol404 = [1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol405 = [1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol406 = [1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2] pubkeycol407 = [1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol408 = [2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0] pubkeycol409 = [1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol410 = [2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol411 = [0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol412 = [0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol413 = [0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol414 = [2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol415 = [2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol416 = [2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol417 = [2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol418 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2] pubkeycol419 = [1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol420 = [1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol421 = [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol422 = [2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol423 = [2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2] pubkeycol424 = [1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol425 = [1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0] pubkeycol426 = [0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol427 = [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1] pubkeycol428 = [0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol429 = [0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol430 = [2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol431 = [2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0] pubkeycol432 = [1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol433 = [0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol434 = [2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol435 = [0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol436 = [1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol437 = [2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0] pubkeycol438 = [2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2] pubkeycol439 = [1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol440 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol441 = [1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol442 = [0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2] pubkeycol443 = [0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol444 = [1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol445 = [2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1] pubkeycol446 = [0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1] pubkeycol447 = [2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0] pubkeycol448 = [1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol449 = [0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol450 = [1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2] pubkeycol451 = [0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1] pubkeycol452 = [1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol453 = [0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol454 = [1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol455 = [2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol456 = [2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol457 = [1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1] pubkeycol458 = [0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol459 = [1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2] pubkeycol460 = [0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2] pubkeycol461 = [0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol462 = [0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol463 = [1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol464 = [2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol465 = [2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2] pubkeycol466 = [1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol467 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol468 = [2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol469 = [0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol470 = [2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol471 = [2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1] pubkeycol472 = [2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol473 = [1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol474 = [0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol475 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2] pubkeycol476 = [2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2] pubkeycol477 = [0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol478 = [1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1] pubkeycol479 = [2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1] pubkeycol480 = [1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol481 = [1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1] pubkeycol482 = [2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol483 = [1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol484 = [1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol485 = [1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1] pubkeycol486 = [0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol487 = [1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol488 = [0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1] pubkeycol489 = [0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2] pubkeycol490 = [0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol491 = [2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol492 = [0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol493 = [2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1] pubkeycol494 = [0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol495 = [0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol496 = [0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol497 = [1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol498 = [0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol499 = [0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol500 = [0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol501 = [2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0] pubkeycol502 = [2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2] pubkeycol503 = [2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol504 = [2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1] pubkeycol505 = [2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol506 = [2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol507 = [1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol508 = [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol509 = [2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol510 = [1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1] pubkeycol511 = [1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0] pubkeycol512 = [2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0] pubkeycol513 = [0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol514 = [2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol515 = [1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol516 = [1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2] pubkeycol517 = [2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol518 = [0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol519 = [0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1] pubkeycol520 = [0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol521 = [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0] pubkeycol522 = [2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol523 = [2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol524 = [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2] pubkeycol525 = [2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0] pubkeycol526 = [1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol527 = [2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0] pubkeycol528 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol529 = [1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol530 = [0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol531 = [1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol532 = [0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol533 = [1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol534 = [2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol535 = [1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1] pubkeycol536 = [2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol537 = [0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol538 = [0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol539 = [1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol540 = [2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol541 = [1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol542 = [2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol543 = [2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1] pubkeycol544 = [1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol545 = [1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol546 = [2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1] pubkeycol547 = [0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol548 = [2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol549 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2] pubkeycol550 = [2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2] pubkeycol551 = [1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1] pubkeycol552 = [0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol553 = [0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol554 = [2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol555 = [2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol556 = [0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol557 = [1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol558 = [1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol559 = [0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol560 = [2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol561 = [1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2] pubkeycol562 = [0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol563 = [0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol564 = [1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol565 = [1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol566 = [0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol567 = [2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol568 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1] pubkeycol569 = [1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1] pubkeycol570 = [0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol571 = [1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol572 = [2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol573 = [2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol574 = [2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol575 = [1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2] pubkeycol576 = [0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2] pubkeycol577 = [2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0] pubkeycol578 = [1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol579 = [0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol580 = [2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0] pubkeycol581 = [1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol582 = [0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol583 = [0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1] pubkeycol584 = [1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol585 = [2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol586 = [1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol587 = [2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol588 = [0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol589 = [0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol590 = [1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol591 = [0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1] pubkeycol592 = [2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1] pubkeycol593 = [1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol594 = [0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol595 = [1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol596 = [0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1] pubkeycol597 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol598 = [2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2] pubkeycol599 = [0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol600 = [2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2] pubkeycol601 = [2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol602 = [2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0] pubkeycol603 = [1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2] pubkeycol604 = [2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2] pubkeycol605 = [2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol606 = [1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol607 = [1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol608 = [1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0] pubkeycol609 = [2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1] pubkeycol610 = [0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2] pubkeycol611 = [1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol612 = [2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol613 = [2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol614 = [0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1] pubkeycol615 = [1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0] pubkeycol616 = [2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol617 = [1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0] pubkeycol618 = [2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol619 = [1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1] pubkeycol620 = [2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1] pubkeycol621 = [1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol622 = [0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol623 = [0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol624 = [2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol625 = [1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol626 = [2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol627 = [1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol628 = [2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol629 = [0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol630 = [2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol631 = [1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0] pubkeycol632 = [1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1] pubkeycol633 = [1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0] pubkeycol634 = [0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol635 = [1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0] pubkeycol636 = [1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0] pubkeycol637 = [1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol638 = [0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol639 = [2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol640 = [2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol641 = [2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol642 = [2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol643 = [0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1] pubkeycol644 = [0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol645 = [0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol646 = [2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0] pubkeycol647 = [2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0] pubkeycol648 = [1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0] pubkeycol649 = [1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol650 = [1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol651 = [2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1] pubkeycol652 = [0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0] pubkeycol653 = [1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol654 = [0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0] pubkeycol655 = [1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol656 = [1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol657 = [0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol658 = [0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol659 = [0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol660 = [1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol661 = [1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol662 = [1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol663 = [2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol664 = [2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0] pubkeycol665 = [1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol666 = [2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol667 = [0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol668 = [0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol669 = [2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol670 = [2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol671 = [0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol672 = [0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0] pubkeycol673 = [1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2] pubkeycol674 = [1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2] pubkeycol675 = [0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol676 = [1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol677 = [2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0] pubkeycol678 = [0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol679 = [0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol680 = [1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol681 = [1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol682 = [1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol683 = [2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol684 = [1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol685 = [2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol686 = [0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol687 = [0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol688 = [2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol689 = [2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol690 = [0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol691 = [2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol692 = [1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol693 = [1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol694 = [0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol695 = [2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2] pubkeycol696 = [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol697 = [2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0] pubkeycol698 = [0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1] pubkeycol699 = [0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol700 = [1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol701 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1] pubkeycol702 = [1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol703 = [1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol704 = [0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol705 = [0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol706 = [2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0] pubkeycol707 = [1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol708 = [1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol709 = [2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol710 = [1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0] pubkeycol711 = [1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol712 = [1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol713 = [1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1] pubkeycol714 = [0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2] pubkeycol715 = [2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol716 = [0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1] pubkeycol717 = [0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0] pubkeycol718 = [1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol719 = [0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2] pubkeycol720 = [0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2] pubkeycol721 = [1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol722 = [0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol723 = [2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol724 = [1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol725 = [2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol726 = [1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0] pubkeycol727 = [0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol728 = [1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol729 = [1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2] pubkeycol730 = [2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol731 = [2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2] pubkeycol732 = [0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol733 = [2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol734 = [1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2] pubkeycol735 = [2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0] pubkeycol736 = [0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol737 = [1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol738 = [0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1] pubkeycol739 = [0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2] pubkeycol740 = [1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol741 = [1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol742 = [2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1] pubkeycol743 = [2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol744 = [1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol745 = [2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol746 = [1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol747 = [2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2] pubkeycol748 = [2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol749 = [1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0] pubkeycol750 = [2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2] pubkeycol751 = [1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2] pubkeycol752 = [2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2] pubkeycol753 = [1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol754 = [1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2] pubkeycol755 = [1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol756 = [0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0] pubkeycol757 = [2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1] pubkeycol758 = [0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0] pubkeycol759 = [1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0] pubkeycol760 = [2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol761 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1] pubkeycol762 = [1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol763 = [0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol764 = [1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol765 = [2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2] pubkeycol766 = [2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2] pubkeycol767 = [1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol768 = [1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0] pubkeycol769 = [0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0] pubkeycol770 = [1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol771 = [2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol772 = [0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1] pubkeycol773 = [0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol774 = [0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol775 = [1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol776 = [2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0] pubkeycol777 = [0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0] pubkeycol778 = [1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol779 = [2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol780 = [0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2] pubkeycol781 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol782 = [1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol783 = [0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol784 = [2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol785 = [0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol786 = [1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2] pubkeycol787 = [0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol788 = [0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1] pubkeycol789 = [2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol790 = [2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol791 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol792 = [2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol793 = [2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol794 = [0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1] pubkeycol795 = [2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol796 = [1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol797 = [1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol798 = [2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol799 = [1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0] pubkeycol800 = [0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1] pubkeycol801 = [1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0] pubkeycol802 = [1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2] pubkeycol803 = [1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol804 = [1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0] pubkeycol805 = [0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1] pubkeycol806 = [0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2] pubkeycol807 = [2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2] pubkeycol808 = [1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2] pubkeycol809 = [1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol810 = [2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1] pubkeycol811 = [0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol812 = [1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2] pubkeycol813 = [1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol814 = [2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2] pubkeycol815 = [1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol816 = [2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol817 = [0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1] pubkeycol818 = [0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol819 = [1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol820 = [0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol821 = [2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol822 = [0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol823 = [0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2] pubkeycol824 = [2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol825 = [0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol826 = [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol827 = [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol828 = [1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol829 = [0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol830 = [2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol831 = [0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol832 = [1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol833 = [2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol834 = [2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol835 = [0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2] pubkeycol836 = [1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol837 = [2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol838 = [0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1] pubkeycol839 = [1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol840 = [0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol841 = [2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol842 = [0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol843 = [2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol844 = [2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol845 = [1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2] pubkeycol846 = [2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol847 = [0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol848 = [2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0] pubkeycol849 = [0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol850 = [2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol851 = [0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol852 = [0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol853 = [0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1] pubkeycol854 = [2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol855 = [2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol856 = [1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol857 = [2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol858 = [1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0] pubkeycol859 = [2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol860 = [2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2] pubkeycol861 = [1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0] pubkeycol862 = [0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol863 = [2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0] pubkeycol864 = [2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2] pubkeycol865 = [0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0] pubkeycol866 = [0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol867 = [1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol868 = [2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol869 = [1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2] pubkeycol870 = [1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol871 = [1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol872 = [1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol873 = [1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol874 = [2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol875 = [1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol876 = [2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol877 = [2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1] pubkeycol878 = [0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol879 = [2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0] pubkeycol880 = [1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0] pubkeycol881 = [1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0] pubkeycol882 = [0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2] pubkeycol883 = [0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol884 = [0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol885 = [1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0] pubkeycol886 = [2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol887 = [0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol888 = [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol889 = [1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol890 = [0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol891 = [1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1] pubkeycol892 = [0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2] pubkeycol893 = [1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol894 = [1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol895 = [1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1] pubkeycol896 = [0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2] pubkeycol897 = [1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol898 = [0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0] pubkeycol899 = [0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2] pubkeycol900 = [0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0] pubkeycol901 = [2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol902 = [1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol903 = [0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol904 = [2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol905 = [0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol906 = [0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2] pubkeycol907 = [1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol908 = [0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0] pubkeycol909 = [2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol910 = [0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol911 = [2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2] pubkeycol912 = [0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0] pubkeycol913 = [0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0] pubkeycol914 = [2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol915 = [1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol916 = [0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol917 = [0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol918 = [2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1] pubkeycol919 = [1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0] pubkeycol920 = [2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol921 = [1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol922 = [2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2] pubkeycol923 = [2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1] pubkeycol924 = [0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol925 = [2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol926 = [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol927 = [0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol928 = [0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0] pubkeycol929 = [1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol930 = [0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol931 = [2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol932 = [2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol933 = [1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol934 = [1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol935 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol936 = [1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2] pubkeycol937 = [1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol938 = [1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol939 = [0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0] pubkeycol940 = [2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol941 = [1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol942 = [1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol943 = [0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol944 = [2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0] pubkeycol945 = [1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol946 = [2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2] pubkeycol947 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol948 = [0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol949 = [0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol950 = [1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol951 = [1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol952 = [0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol953 = [0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0] pubkeycol954 = [2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol955 = [1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol956 = [0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1] pubkeycol957 = [0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol958 = [2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0] pubkeycol959 = [0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0] pubkeycol960 = [2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2] pubkeycol961 = [1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1] pubkeycol962 = [1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol963 = [0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol964 = [0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1] pubkeycol965 = [2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol966 = [0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol967 = [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol968 = [2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol969 = [0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0] pubkeycol970 = [0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol971 = [0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol972 = [1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol973 = [0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0] pubkeycol974 = [0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol975 = [2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol976 = [1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol977 = [2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol978 = [0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2] pubkeycol979 = [0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol980 = [0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2] pubkeycol981 = [2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol982 = [2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol983 = [0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol984 = [1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol985 = [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0] pubkeycol986 = [0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0] pubkeycol987 = [1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2] pubkeycol988 = [2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol989 = [2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol990 = [0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol991 = [1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol992 = [1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol993 = [1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2] pubkeycol994 = [1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0] pubkeycol995 = [1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0] pubkeycol996 = [1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol997 = [2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2] pubkeycol998 = [1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol999 = [0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2] pubkeycol1000 = [2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol1001 = [2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol1002 = [0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol1003 = [1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2] pubkeycol1004 = [0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol1005 = [0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol1006 = [1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol1007 = [0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2] pubkeycol1008 = [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol1009 = [1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol1010 = [1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol1011 = [1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2] pubkeycol1012 = [1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol1013 = [1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol1014 = [2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol1015 = [1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0] pubkeycol1016 = [0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol1017 = [0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol1018 = [2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol1019 = [0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2] pubkeycol1020 = [1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol1021 = [2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol1022 = [0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1] pubkeycol1023 = [1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol1024 = [0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol1025 = [2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol1026 = [1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol1027 = [0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0] pubkeycol1028 = [2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol1029 = [2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol1030 = [2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol1031 = [0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2] pubkeycol1032 = [0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol1033 = [2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1] pubkeycol1034 = [0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0] pubkeycol1035 = [2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2] pubkeycol1036 = [1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2] pubkeycol1037 = [2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0] pubkeycol1038 = [0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol1039 = [0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol1040 = [0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0] pubkeycol1041 = [0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol1042 = [1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol1043 = [0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2] pubkeycol1044 = [0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol1045 = [0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol1046 = [0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1] pubkeycol1047 = [0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0] pubkeycol1048 = [1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol1049 = [2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2] pubkeycol1050 = [2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol1051 = [1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol1052 = [2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol1053 = [0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol1054 = [2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1055 = [0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0] pubkeycol1056 = [0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol1057 = [1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol1058 = [0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol1059 = [2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1] pubkeycol1060 = [2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol1061 = [1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0] pubkeycol1062 = [2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol1063 = [0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol1064 = [0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1] pubkeycol1065 = [0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol1066 = [1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol1067 = [1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol1068 = [2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1] pubkeycol1069 = [1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol1070 = [1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2] pubkeycol1071 = [1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol1072 = [2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol1073 = [1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol1074 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol1075 = [1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol1076 = [2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol1077 = [1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2] pubkeycol1078 = [2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol1079 = [1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol1080 = [2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0] pubkeycol1081 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol1082 = [2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1083 = [1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1084 = [0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0] pubkeycol1085 = [1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol1086 = [1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol1087 = [2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0] pubkeycol1088 = [1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol1089 = [2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol1090 = [2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol1091 = [0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol1092 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol1093 = [1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol1094 = [2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0] pubkeycol1095 = [0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1] pubkeycol1096 = [1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol1097 = [2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1] pubkeycol1098 = [2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol1099 = [0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0] pubkeycol1100 = [2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol1101 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol1102 = [0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol1103 = [1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol1104 = [1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0] pubkeycol1105 = [2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1] pubkeycol1106 = [2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0] pubkeycol1107 = [0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol1108 = [2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol1109 = [1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol1110 = [0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol1111 = [1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol1112 = [1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol1113 = [2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol1114 = [0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol1115 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0] pubkeycol1116 = [0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2] pubkeycol1117 = [0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol1118 = [2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol1119 = [1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol1120 = [2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2] pubkeycol1121 = [1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol1122 = [0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol1123 = [0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2] pubkeycol1124 = [0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol1125 = [1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1] pubkeycol1126 = [1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol1127 = [1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0] pubkeycol1128 = [2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol1129 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol1130 = [0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol1131 = [2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol1132 = [2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol1133 = [2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol1134 = [2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2] pubkeycol1135 = [2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol1136 = [1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol1137 = [0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol1138 = [2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol1139 = [0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol1140 = [2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0] pubkeycol1141 = [2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0] pubkeycol1142 = [2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol1143 = [2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol1144 = [2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol1145 = [1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol1146 = [0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2] pubkeycol1147 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0] pubkeycol1148 = [2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol1149 = [0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2] pubkeycol1150 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol1151 = [0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1] pubkeycol1152 = [2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol1153 = [0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2] pubkeycol1154 = [1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol1155 = [2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0] pubkeycol1156 = [0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1] pubkeycol1157 = [0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0] pubkeycol1158 = [1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2] pubkeycol1159 = [0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2] pubkeycol1160 = [2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol1161 = [0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2] pubkeycol1162 = [1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol1163 = [0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol1164 = [1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol1165 = [2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol1166 = [0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol1167 = [0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol1168 = [0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol1169 = [2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol1170 = [0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1] pubkeycol1171 = [0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1] pubkeycol1172 = [0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol1173 = [1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2] pubkeycol1174 = [1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol1175 = [2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol1176 = [2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol1177 = [2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0] pubkeycol1178 = [1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1] pubkeycol1179 = [2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1] pubkeycol1180 = [2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol1181 = [1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol1182 = [0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol1183 = [1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol1184 = [0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol1185 = [1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol1186 = [1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol1187 = [1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol1188 = [0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0] pubkeycol1189 = [0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol1190 = [1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol1191 = [0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol1192 = [0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol1193 = [0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol1194 = [1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0] pubkeycol1195 = [0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol1196 = [1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol1197 = [2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol1198 = [1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol1199 = [0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol1200 = [2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1] pubkeycol1201 = [1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol1202 = [2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol1203 = [2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol1204 = [0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol1205 = [2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol1206 = [2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol1207 = [1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0] pubkeycol1208 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2] pubkeycol1209 = [0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol1210 = [2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol1211 = [0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol1212 = [1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol1213 = [1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol1214 = [2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol1215 = [2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol1216 = [1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2] pubkeycol1217 = [1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol1218 = [1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol1219 = [0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1] pubkeycol1220 = [1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol1221 = [2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol1222 = [0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol1223 = [0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol1224 = [1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol1225 = [0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1] pubkeycol1226 = [1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol1227 = [1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1] pubkeycol1228 = [2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol1229 = [0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1] pubkeycol1230 = [0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol1231 = [0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol1232 = [0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2] pubkeycol1233 = [0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0] pubkeycol1234 = [1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol1235 = [1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol1236 = [2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol1237 = [0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol1238 = [2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1] pubkeycol1239 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1] pubkeycol1240 = [2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol1241 = [0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2] pubkeycol1242 = [2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2] pubkeycol1243 = [0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol1244 = [0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol1245 = [1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol1246 = [1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol1247 = [0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2] pubkeycol1248 = [1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol1249 = [2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol1250 = [2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol1251 = [2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol1252 = [0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol1253 = [0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol1254 = [2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol1255 = [1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol1256 = [1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol1257 = [1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol1258 = [1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol1259 = [1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol1260 = [2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol1261 = [0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol1262 = [0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol1263 = [1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol1264 = [0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1265 = [1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1] pubkeycol1266 = [1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol1267 = [0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol1268 = [1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0] pubkeycol1269 = [1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2] pubkeycol1270 = [0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0,