kilobytes = 83.7305971084098 q = 3 m = 7 n = 1496 s = 0 t = 28 u = 56 k = 1104 w = 42 ciphertext = [1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0] recovered_plaintext_using_secret_key = True pubkeycol392 = [0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol393 = [1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol394 = [1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol395 = [0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1] pubkeycol396 = [2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol397 = [0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2] pubkeycol398 = [1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0] pubkeycol399 = [2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol400 = [2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol401 = [0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol402 = [2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol403 = [1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2] pubkeycol404 = [0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol405 = [1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol406 = [0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1] pubkeycol407 = [1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol408 = [0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol409 = [0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol410 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol411 = [2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol412 = [2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol413 = [0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol414 = [0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0] pubkeycol415 = [2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol416 = [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol417 = [2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol418 = [1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0] pubkeycol419 = [1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol420 = [1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol421 = [0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol422 = [2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol423 = [2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol424 = [2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol425 = [1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol426 = [1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0] pubkeycol427 = [0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol428 = [2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol429 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2] pubkeycol430 = [0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol431 = [1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol432 = [1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol433 = [2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol434 = [1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0] pubkeycol435 = [1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1] pubkeycol436 = [1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0] pubkeycol437 = [2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol438 = [1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2] pubkeycol439 = [2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2] pubkeycol440 = [0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol441 = [1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol442 = [1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2] pubkeycol443 = [0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol444 = [0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1] pubkeycol445 = [2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol446 = [1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol447 = [2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol448 = [1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol449 = [0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1] pubkeycol450 = [1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2] pubkeycol451 = [0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol452 = [0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2] pubkeycol453 = [0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol454 = [1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol455 = [0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2] pubkeycol456 = [0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol457 = [1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1] pubkeycol458 = [0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0] pubkeycol459 = [0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol460 = [0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol461 = [1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0] pubkeycol462 = [2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol463 = [0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol464 = [0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol465 = [2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol466 = [2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol467 = [1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol468 = [2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol469 = [0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol470 = [0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol471 = [1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol472 = [1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol473 = [2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol474 = [2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol475 = [0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol476 = [0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol477 = [2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2] pubkeycol478 = [0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1] pubkeycol479 = [0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0] pubkeycol480 = [0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol481 = [2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol482 = [0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol483 = [2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol484 = [1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2] pubkeycol485 = [1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol486 = [1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1] pubkeycol487 = [0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol488 = [0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0] pubkeycol489 = [1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1] pubkeycol490 = [2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol491 = [2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol492 = [1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol493 = [0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1] pubkeycol494 = [0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol495 = [1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol496 = [0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol497 = [0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol498 = [0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol499 = [1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol500 = [1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol501 = [1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol502 = [2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0] pubkeycol503 = [1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2] pubkeycol504 = [0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol505 = [1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol506 = [1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol507 = [0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol508 = [1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol509 = [1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol510 = [0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1] pubkeycol511 = [0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2] pubkeycol512 = [0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol513 = [0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0] pubkeycol514 = [1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2] pubkeycol515 = [2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol516 = [1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol517 = [1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol518 = [2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol519 = [2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0] pubkeycol520 = [2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2] pubkeycol521 = [2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1] pubkeycol522 = [2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol523 = [2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol524 = [2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2] pubkeycol525 = [1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol526 = [2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0] pubkeycol527 = [2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol528 = [0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol529 = [2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2] pubkeycol530 = [0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol531 = [1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0] pubkeycol532 = [2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol533 = [2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0] pubkeycol534 = [2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol535 = [2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2] pubkeycol536 = [0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol537 = [2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol538 = [1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0] pubkeycol539 = [2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol540 = [0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol541 = [2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol542 = [2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol543 = [0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0] pubkeycol544 = [1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2] pubkeycol545 = [0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2] pubkeycol546 = [1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol547 = [1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0] pubkeycol548 = [0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol549 = [2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol550 = [2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol551 = [2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0] pubkeycol552 = [2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol553 = [1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2] pubkeycol554 = [1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol555 = [2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol556 = [0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0] pubkeycol557 = [1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol558 = [2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol559 = [1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol560 = [0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol561 = [1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol562 = [1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2] pubkeycol563 = [0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2] pubkeycol564 = [0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0] pubkeycol565 = [2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol566 = [2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol567 = [0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol568 = [1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol569 = [1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol570 = [0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol571 = [0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol572 = [0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol573 = [2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0] pubkeycol574 = [2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol575 = [1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2] pubkeycol576 = [0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol577 = [2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1] pubkeycol578 = [1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol579 = [0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol580 = [1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1] pubkeycol581 = [1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2] pubkeycol582 = [1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol583 = [2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol584 = [1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol585 = [1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2] pubkeycol586 = [2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol587 = [0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0] pubkeycol588 = [0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2] pubkeycol589 = [0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0] pubkeycol590 = [1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol591 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol592 = [0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1] pubkeycol593 = [2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0] pubkeycol594 = [1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol595 = [0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol596 = [0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol597 = [0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2] pubkeycol598 = [1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol599 = [1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol600 = [1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol601 = [2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol602 = [2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1] pubkeycol603 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol604 = [0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1] pubkeycol605 = [0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol606 = [1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol607 = [2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1] pubkeycol608 = [1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol609 = [2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol610 = [1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol611 = [1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1] pubkeycol612 = [2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol613 = [1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol614 = [0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2] pubkeycol615 = [0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1] pubkeycol616 = [2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol617 = [2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol618 = [1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol619 = [1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol620 = [2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol621 = [1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol622 = [0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol623 = [2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol624 = [1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0] pubkeycol625 = [1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol626 = [0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol627 = [1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol628 = [2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol629 = [1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol630 = [1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol631 = [2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2] pubkeycol632 = [1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol633 = [2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2] pubkeycol634 = [1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol635 = [2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1] pubkeycol636 = [2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol637 = [2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol638 = [1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol639 = [0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol640 = [0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2] pubkeycol641 = [0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol642 = [1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2] pubkeycol643 = [1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol644 = [0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1] pubkeycol645 = [1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol646 = [1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol647 = [1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol648 = [1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1] pubkeycol649 = [0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol650 = [0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1] pubkeycol651 = [2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol652 = [1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0] pubkeycol653 = [1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol654 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol655 = [0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol656 = [0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol657 = [1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol658 = [0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1] pubkeycol659 = [2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol660 = [2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol661 = [1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol662 = [1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol663 = [1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0] pubkeycol664 = [0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol665 = [2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1] pubkeycol666 = [0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2] pubkeycol667 = [2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol668 = [1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol669 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2] pubkeycol670 = [0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0] pubkeycol671 = [2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol672 = [0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol673 = [1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol674 = [2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol675 = [2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol676 = [1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol677 = [1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol678 = [0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol679 = [0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol680 = [2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol681 = [0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol682 = [2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol683 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol684 = [0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2] pubkeycol685 = [2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol686 = [2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol687 = [1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol688 = [0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol689 = [1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol690 = [1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol691 = [1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0] pubkeycol692 = [2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol693 = [1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol694 = [0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol695 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2] pubkeycol696 = [0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol697 = [2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol698 = [2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0] pubkeycol699 = [0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol700 = [1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1] pubkeycol701 = [0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1] pubkeycol702 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol703 = [1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2] pubkeycol704 = [0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol705 = [2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol706 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1] pubkeycol707 = [1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2] pubkeycol708 = [1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol709 = [0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol710 = [2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol711 = [1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2] pubkeycol712 = [2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol713 = [1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol714 = [1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol715 = [0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1] pubkeycol716 = [1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0] pubkeycol717 = [0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0] pubkeycol718 = [0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol719 = [2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol720 = [1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol721 = [2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2] pubkeycol722 = [2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol723 = [1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol724 = [2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol725 = [2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol726 = [0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0] pubkeycol727 = [2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol728 = [1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol729 = [0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol730 = [0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol731 = [1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol732 = [0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol733 = [2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0] pubkeycol734 = [0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol735 = [2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol736 = [0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol737 = [1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2] pubkeycol738 = [0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol739 = [1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol740 = [1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol741 = [1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol742 = [2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol743 = [2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol744 = [2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0] pubkeycol745 = [1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol746 = [0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol747 = [0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol748 = [1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol749 = [2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol750 = [1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol751 = [2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1] pubkeycol752 = [0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol753 = [2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol754 = [0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol755 = [2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol756 = [0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0] pubkeycol757 = [0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol758 = [0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol759 = [1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol760 = [2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0] pubkeycol761 = [1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2] pubkeycol762 = [1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2] pubkeycol763 = [0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2] pubkeycol764 = [1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol765 = [1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol766 = [0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol767 = [2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol768 = [1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol769 = [1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0] pubkeycol770 = [2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol771 = [2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1] pubkeycol772 = [1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2] pubkeycol773 = [2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol774 = [2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2] pubkeycol775 = [1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol776 = [1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1] pubkeycol777 = [2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol778 = [2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0] pubkeycol779 = [2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol780 = [1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1] pubkeycol781 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol782 = [2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol783 = [1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol784 = [0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1] pubkeycol785 = [0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol786 = [0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol787 = [0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol788 = [1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol789 = [1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol790 = [1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol791 = [2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol792 = [1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol793 = [0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol794 = [2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol795 = [0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0] pubkeycol796 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol797 = [1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol798 = [2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2] pubkeycol799 = [0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0] pubkeycol800 = [1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2] pubkeycol801 = [1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2] pubkeycol802 = [0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol803 = [1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol804 = [0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2] pubkeycol805 = [0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol806 = [2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol807 = [2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol808 = [1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2] pubkeycol809 = [2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol810 = [2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0] pubkeycol811 = [1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0] pubkeycol812 = [0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol813 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol814 = [0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol815 = [0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol816 = [2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2] pubkeycol817 = [2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol818 = [0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol819 = [1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0] pubkeycol820 = [2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol821 = [0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol822 = [0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol823 = [1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol824 = [0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1] pubkeycol825 = [0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0] pubkeycol826 = [2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2] pubkeycol827 = [1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol828 = [0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol829 = [0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1] pubkeycol830 = [1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2] pubkeycol831 = [0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0] pubkeycol832 = [0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol833 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol834 = [2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol835 = [1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2] pubkeycol836 = [0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol837 = [0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol838 = [2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol839 = [0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol840 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2] pubkeycol841 = [0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0] pubkeycol842 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol843 = [1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol844 = [0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1] pubkeycol845 = [0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0] pubkeycol846 = [0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol847 = [1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol848 = [0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol849 = [2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol850 = [2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol851 = [0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1] pubkeycol852 = [1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol853 = [1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol854 = [2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0] pubkeycol855 = [1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol856 = [2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1] pubkeycol857 = [2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol858 = [2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol859 = [2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2] pubkeycol860 = [1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol861 = [0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol862 = [2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0] pubkeycol863 = [2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol864 = [0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol865 = [1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1] pubkeycol866 = [1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1] pubkeycol867 = [2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol868 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol869 = [1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2] pubkeycol870 = [0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol871 = [2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol872 = [2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol873 = [0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1] pubkeycol874 = [2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol875 = [2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol876 = [0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0] pubkeycol877 = [1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol878 = [1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol879 = [0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1] pubkeycol880 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol881 = [1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol882 = [0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol883 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2] pubkeycol884 = [1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol885 = [0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2] pubkeycol886 = [0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol887 = [2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol888 = [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol889 = [2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol890 = [2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol891 = [2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol892 = [2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol893 = [0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol894 = [2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1] pubkeycol895 = [2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol896 = [1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2] pubkeycol897 = [1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol898 = [2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0] pubkeycol899 = [2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol900 = [0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol901 = [0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol902 = [1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1] pubkeycol903 = [2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol904 = [1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol905 = [1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol906 = [0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol907 = [2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1] pubkeycol908 = [1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol909 = [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol910 = [2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol911 = [1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol912 = [2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol913 = [2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol914 = [1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol915 = [0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2] pubkeycol916 = [0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol917 = [1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2] pubkeycol918 = [2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol919 = [1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol920 = [2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol921 = [1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol922 = [2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2] pubkeycol923 = [0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0] pubkeycol924 = [0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol925 = [1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol926 = [2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2] pubkeycol927 = [1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol928 = [1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol929 = [2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol930 = [2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol931 = [0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol932 = [1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0] pubkeycol933 = [2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol934 = [1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2] pubkeycol935 = [0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0] pubkeycol936 = [2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol937 = [2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol938 = [1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol939 = [0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1] pubkeycol940 = [0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol941 = [0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol942 = [2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol943 = [1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1] pubkeycol944 = [2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2] pubkeycol945 = [2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0] pubkeycol946 = [0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1] pubkeycol947 = [2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol948 = [1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol949 = [1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1] pubkeycol950 = [2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol951 = [2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0] pubkeycol952 = [0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2] pubkeycol953 = [2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol954 = [2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol955 = [1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0] pubkeycol956 = [0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol957 = [0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol958 = [2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol959 = [0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol960 = [0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol961 = [2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol962 = [0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol963 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol964 = [2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol965 = [2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol966 = [2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol967 = [1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol968 = [2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1] pubkeycol969 = [1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol970 = [2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol971 = [0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol972 = [1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol973 = [0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol974 = [1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0] pubkeycol975 = [0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol976 = [1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol977 = [2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol978 = [0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1] pubkeycol979 = [1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol980 = [2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2] pubkeycol981 = [1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0] pubkeycol982 = [0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2] pubkeycol983 = [0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol984 = [2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2] pubkeycol985 = [2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol986 = [0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol987 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol988 = [2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0] pubkeycol989 = [1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol990 = [1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol991 = [0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0] pubkeycol992 = [2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol993 = [1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol994 = [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol995 = [0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol996 = [1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol997 = [0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol998 = [2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol999 = [1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1000 = [0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1] pubkeycol1001 = [2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2] pubkeycol1002 = [1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1] pubkeycol1003 = [2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol1004 = [1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol1005 = [1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0] pubkeycol1006 = [2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol1007 = [0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2] pubkeycol1008 = [1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol1009 = [1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol1010 = [0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2] pubkeycol1011 = [1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2] pubkeycol1012 = [0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0] pubkeycol1013 = [1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol1014 = [0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2] pubkeycol1015 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0] pubkeycol1016 = [0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol1017 = [2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol1018 = [2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0] pubkeycol1019 = [1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol1020 = [2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0] pubkeycol1021 = [0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol1022 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol1023 = [2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol1024 = [2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1] pubkeycol1025 = [1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2] pubkeycol1026 = [2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol1027 = [0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol1028 = [2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol1029 = [0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0] pubkeycol1030 = [2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol1031 = [0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol1032 = [0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol1033 = [0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol1034 = [0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol1035 = [2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol1036 = [2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol1037 = [1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol1038 = [0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol1039 = [2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol1040 = [2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol1041 = [0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol1042 = [2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol1043 = [2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol1044 = [0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol1045 = [1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol1046 = [1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol1047 = [2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2] pubkeycol1048 = [2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol1049 = [1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol1050 = [2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol1051 = [1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol1052 = [2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol1053 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2] pubkeycol1054 = [2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0] pubkeycol1055 = [2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol1056 = [0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol1057 = [2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2] pubkeycol1058 = [1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol1059 = [2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol1060 = [2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1] pubkeycol1061 = [0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol1062 = [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol1063 = [0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol1064 = [2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol1065 = [1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1] pubkeycol1066 = [2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol1067 = [2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2] pubkeycol1068 = [1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2] pubkeycol1069 = [2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol1070 = [2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol1071 = [1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol1072 = [0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol1073 = [2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol1074 = [0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol1075 = [1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1] pubkeycol1076 = [2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol1077 = [2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0] pubkeycol1078 = [0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol1079 = [2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol1080 = [0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0] pubkeycol1081 = [0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol1082 = [1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol1083 = [1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol1084 = [2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol1085 = [2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol1086 = [2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1] pubkeycol1087 = [2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol1088 = [0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0] pubkeycol1089 = [0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol1090 = [0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1] pubkeycol1091 = [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol1092 = [0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2] pubkeycol1093 = [2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2] pubkeycol1094 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2] pubkeycol1095 = [2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol1096 = [1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1] pubkeycol1097 = [1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2] pubkeycol1098 = [1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1] pubkeycol1099 = [1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol1100 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol1101 = [2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1] pubkeycol1102 = [0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2] pubkeycol1103 = [2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0] pubkeycol1104 = [2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol1105 = [0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol1106 = [2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1] pubkeycol1107 = [0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2] pubkeycol1108 = [1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol1109 = [1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol1110 = [1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0] pubkeycol1111 = [2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol1112 = [1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol1113 = [0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol1114 = [2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2] pubkeycol1115 = [2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol1116 = [2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol1117 = [2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0] pubkeycol1118 = [0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0] pubkeycol1119 = [0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol1120 = [0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol1121 = [2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol1122 = [0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol1123 = [0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2] pubkeycol1124 = [0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0] pubkeycol1125 = [2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol1126 = [2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2] pubkeycol1127 = [0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol1128 = [0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol1129 = [1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol1130 = [1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1] pubkeycol1131 = [2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol1132 = [1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1] pubkeycol1133 = [1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol1134 = [1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol1135 = [1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2] pubkeycol1136 = [0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol1137 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol1138 = [0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1] pubkeycol1139 = [1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol1140 = [1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol1141 = [0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2] pubkeycol1142 = [2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2] pubkeycol1143 = [1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol1144 = [0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0] pubkeycol1145 = [1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol1146 = [0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol1147 = [1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol1148 = [1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol1149 = [0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol1150 = [2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol1151 = [2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol1152 = [2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol1153 = [2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol1154 = [0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol1155 = [0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2] pubkeycol1156 = [0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol1157 = [0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0] pubkeycol1158 = [0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol1159 = [1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol1160 = [2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol1161 = [0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol1162 = [2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol1163 = [2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol1164 = [2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol1165 = [1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0] pubkeycol1166 = [1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2] pubkeycol1167 = [2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1] pubkeycol1168 = [0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2] pubkeycol1169 = [0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1] pubkeycol1170 = [0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2] pubkeycol1171 = [0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol1172 = [0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol1173 = [0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0] pubkeycol1174 = [2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol1175 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol1176 = [2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol1177 = [0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol1178 = [2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol1179 = [1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol1180 = [1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol1181 = [2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol1182 = [1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol1183 = [2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol1184 = [2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol1185 = [0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol1186 = [0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol1187 = [2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol1188 = [1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol1189 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2] pubkeycol1190 = [0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol1191 = [2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol1192 = [0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol1193 = [0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol1194 = [1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1] pubkeycol1195 = [0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0] pubkeycol1196 = [2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol1197 = [2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0] pubkeycol1198 = [0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol1199 = [0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol1200 = [1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol1201 = [0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol1202 = [0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol1203 = [0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol1204 = [1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2] pubkeycol1205 = [2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2] pubkeycol1206 = [2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol1207 = [1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol1208 = [2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol1209 = [2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol1210 = [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2] pubkeycol1211 = [2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol1212 = [2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol1213 = [0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol1214 = [0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol1215 = [2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2] pubkeycol1216 = [0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol1217 = [2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0] pubkeycol1218 = [2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0] pubkeycol1219 = [0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol1220 = [2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol1221 = [1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol1222 = [1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2] pubkeycol1223 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0] pubkeycol1224 = [0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol1225 = [0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol1226 = [0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol1227 = [2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol1228 = [2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0] pubkeycol1229 = [1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0] pubkeycol1230 = [2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol1231 = [0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol1232 = [1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol1233 = [2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0] pubkeycol1234 = [0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2] pubkeycol1235 = [1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol1236 = [0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol1237 = [2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol1238 = [1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol1239 = [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0] pubkeycol1240 = [0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol1241 = [0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1242 = [0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0] pubkeycol1243 = [0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol1244 = [1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol1245 = [2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol1246 = [2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol1247 = [1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol1248 = [1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol1249 = [1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol1250 = [1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol1251 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol1252 = [1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol1253 = [1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol1254 = [1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol1255 = [0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol1256 = [1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol1257 = [0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol1258 = [0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol1259 = [0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol1260 = [0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2] pubkeycol1261 = [2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol1262 = [2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol1263 = [2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol1264 = [1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol1265 = [0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol1266 = [2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol1267 = [2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol1268 = [0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2] pubkeycol1269 = [0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2] pubkeycol1270 = [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1,