kilobytes = 83.9472912003053 q = 3 m = 7 n = 1556 s = 0 t = 26 u = 52 k = 1192 w = 39 ciphertext = [1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol364 = [2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2] pubkeycol365 = [1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol366 = [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol367 = [0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol368 = [1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol369 = [1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0] pubkeycol370 = [2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol371 = [1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0] pubkeycol372 = [1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol373 = [1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol374 = [1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0] pubkeycol375 = [1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol376 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1] pubkeycol377 = [1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol378 = [2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol379 = [1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol380 = [2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol381 = [1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0] pubkeycol382 = [1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol383 = [1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol384 = [2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol385 = [1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol386 = [1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol387 = [1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol388 = [0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2] pubkeycol389 = [1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0] pubkeycol390 = [0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol391 = [2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1] pubkeycol392 = [1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol393 = [1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2] pubkeycol394 = [2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol395 = [1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol396 = [2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol397 = [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol398 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol399 = [1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1] pubkeycol400 = [1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol401 = [1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2] pubkeycol402 = [0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol403 = [2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol404 = [0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol405 = [2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0] pubkeycol406 = [0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol407 = [1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol408 = [2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol409 = [2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol410 = [2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol411 = [0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol412 = [2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol413 = [2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol414 = [2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol415 = [1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol416 = [1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0] pubkeycol417 = [2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol418 = [0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1] pubkeycol419 = [0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2] pubkeycol420 = [0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol421 = [2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol422 = [2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1] pubkeycol423 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0] pubkeycol424 = [2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol425 = [1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol426 = [1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol427 = [1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol428 = [0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol429 = [1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol430 = [0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1] pubkeycol431 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol432 = [2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol433 = [1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol434 = [2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol435 = [2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2] pubkeycol436 = [0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol437 = [0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol438 = [1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol439 = [0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol440 = [0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol441 = [1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol442 = [0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol443 = [0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2] pubkeycol444 = [2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol445 = [1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol446 = [1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol447 = [1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol448 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol449 = [2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0] pubkeycol450 = [2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol451 = [1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol452 = [1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol453 = [2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1] pubkeycol454 = [1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol455 = [0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol456 = [1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol457 = [2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol458 = [0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol459 = [2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol460 = [1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol461 = [0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol462 = [1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0] pubkeycol463 = [1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol464 = [2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol465 = [2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1] pubkeycol466 = [1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol467 = [2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2] pubkeycol468 = [2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol469 = [0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol470 = [0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1] pubkeycol471 = [1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol472 = [2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol473 = [1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol474 = [2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1] pubkeycol475 = [1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol476 = [2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol477 = [2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol478 = [2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol479 = [1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol480 = [1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol481 = [1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1] pubkeycol482 = [1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2] pubkeycol483 = [0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2] pubkeycol484 = [0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol485 = [0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol486 = [2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol487 = [2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0] pubkeycol488 = [1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol489 = [1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol490 = [0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol491 = [1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol492 = [0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0] pubkeycol493 = [0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol494 = [2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol495 = [1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol496 = [2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol497 = [2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol498 = [1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol499 = [2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2] pubkeycol500 = [0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol501 = [2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1] pubkeycol502 = [2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1] pubkeycol503 = [0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol504 = [1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol505 = [2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol506 = [1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol507 = [2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol508 = [1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol509 = [2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol510 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol511 = [0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0] pubkeycol512 = [0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2] pubkeycol513 = [1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol514 = [0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol515 = [2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1] pubkeycol516 = [2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1] pubkeycol517 = [0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol518 = [2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol519 = [2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol520 = [0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0] pubkeycol521 = [1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol522 = [0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol523 = [1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1] pubkeycol524 = [0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0] pubkeycol525 = [1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol526 = [1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol527 = [0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol528 = [2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol529 = [0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol530 = [2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0] pubkeycol531 = [2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1] pubkeycol532 = [2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol533 = [1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol534 = [0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1] pubkeycol535 = [1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0] pubkeycol536 = [0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0] pubkeycol537 = [0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2] pubkeycol538 = [1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol539 = [2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol540 = [0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol541 = [1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol542 = [0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol543 = [0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol544 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol545 = [1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2] pubkeycol546 = [2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1] pubkeycol547 = [2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1] pubkeycol548 = [1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2] pubkeycol549 = [1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol550 = [1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol551 = [1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0] pubkeycol552 = [0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol553 = [2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol554 = [1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol555 = [2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2] pubkeycol556 = [2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol557 = [1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol558 = [2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0] pubkeycol559 = [0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol560 = [0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol561 = [2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol562 = [2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol563 = [1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol564 = [0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0] pubkeycol565 = [1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol566 = [2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol567 = [0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2] pubkeycol568 = [0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1] pubkeycol569 = [1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol570 = [0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol571 = [2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol572 = [2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1] pubkeycol573 = [2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1] pubkeycol574 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol575 = [2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2] pubkeycol576 = [2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol577 = [0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol578 = [0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol579 = [1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0] pubkeycol580 = [2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0] pubkeycol581 = [2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol582 = [1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol583 = [0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2] pubkeycol584 = [2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol585 = [2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol586 = [1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol587 = [0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol588 = [0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol589 = [2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol590 = [2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1] pubkeycol591 = [2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1] pubkeycol592 = [2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0] pubkeycol593 = [1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1] pubkeycol594 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol595 = [1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0] pubkeycol596 = [0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol597 = [0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol598 = [0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2] pubkeycol599 = [0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol600 = [1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol601 = [0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol602 = [2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1] pubkeycol603 = [1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol604 = [2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2] pubkeycol605 = [1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol606 = [1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2] pubkeycol607 = [0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2] pubkeycol608 = [1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol609 = [2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol610 = [1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol611 = [1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1] pubkeycol612 = [0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1] pubkeycol613 = [0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1] pubkeycol614 = [2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol615 = [2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0] pubkeycol616 = [1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol617 = [1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0] pubkeycol618 = [0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0] pubkeycol619 = [1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2] pubkeycol620 = [1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0] pubkeycol621 = [0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1] pubkeycol622 = [0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1] pubkeycol623 = [0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol624 = [0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1] pubkeycol625 = [1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol626 = [1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol627 = [1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2] pubkeycol628 = [2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2] pubkeycol629 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol630 = [2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol631 = [2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol632 = [0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol633 = [2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol634 = [2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol635 = [1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol636 = [1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol637 = [1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol638 = [0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol639 = [1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0] pubkeycol640 = [1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1] pubkeycol641 = [0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol642 = [0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol643 = [2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol644 = [2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0] pubkeycol645 = [1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol646 = [0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol647 = [1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol648 = [1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol649 = [2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol650 = [2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol651 = [0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2] pubkeycol652 = [1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol653 = [0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2] pubkeycol654 = [2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1] pubkeycol655 = [1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol656 = [0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol657 = [2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0] pubkeycol658 = [1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1] pubkeycol659 = [0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol660 = [2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol661 = [0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol662 = [1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol663 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol664 = [1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol665 = [1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1] pubkeycol666 = [1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol667 = [0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol668 = [0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol669 = [0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol670 = [1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1] pubkeycol671 = [0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol672 = [0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol673 = [0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol674 = [0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2] pubkeycol675 = [0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol676 = [1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol677 = [1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0] pubkeycol678 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol679 = [2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1] pubkeycol680 = [0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol681 = [1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol682 = [1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0] pubkeycol683 = [2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0] pubkeycol684 = [1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol685 = [0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol686 = [0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol687 = [1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol688 = [0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2] pubkeycol689 = [0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol690 = [0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol691 = [0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol692 = [0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol693 = [1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2] pubkeycol694 = [0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol695 = [2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol696 = [0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol697 = [2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol698 = [0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol699 = [2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol700 = [1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol701 = [2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol702 = [2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol703 = [1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1] pubkeycol704 = [1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol705 = [1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol706 = [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol707 = [0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0] pubkeycol708 = [1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol709 = [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol710 = [2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2] pubkeycol711 = [1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol712 = [0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0] pubkeycol713 = [1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol714 = [0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol715 = [2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol716 = [2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol717 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2] pubkeycol718 = [2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol719 = [2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol720 = [1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2] pubkeycol721 = [2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol722 = [1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1] pubkeycol723 = [0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol724 = [0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol725 = [2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol726 = [2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol727 = [0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol728 = [0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1] pubkeycol729 = [0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1] pubkeycol730 = [1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol731 = [0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol732 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0] pubkeycol733 = [1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol734 = [0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol735 = [2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol736 = [1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0] pubkeycol737 = [0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0] pubkeycol738 = [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0] pubkeycol739 = [1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2] pubkeycol740 = [2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol741 = [2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0] pubkeycol742 = [2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol743 = [0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol744 = [1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol745 = [0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2] pubkeycol746 = [2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol747 = [0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol748 = [2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol749 = [1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol750 = [2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol751 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol752 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol753 = [0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol754 = [2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol755 = [1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2] pubkeycol756 = [2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol757 = [0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol758 = [1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol759 = [2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1] pubkeycol760 = [2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol761 = [0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol762 = [1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1] pubkeycol763 = [2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol764 = [2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol765 = [0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2] pubkeycol766 = [1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol767 = [0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol768 = [1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol769 = [0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol770 = [1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol771 = [0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1] pubkeycol772 = [2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol773 = [2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol774 = [2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0] pubkeycol775 = [0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol776 = [2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1] pubkeycol777 = [0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol778 = [0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1] pubkeycol779 = [0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol780 = [1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol781 = [1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol782 = [0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2] pubkeycol783 = [1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1] pubkeycol784 = [2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0] pubkeycol785 = [0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol786 = [2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol787 = [0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol788 = [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol789 = [0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol790 = [0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol791 = [0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0] pubkeycol792 = [1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol793 = [2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol794 = [2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol795 = [2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol796 = [1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2] pubkeycol797 = [1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol798 = [0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2] pubkeycol799 = [1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol800 = [2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol801 = [0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol802 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol803 = [1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol804 = [1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol805 = [2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol806 = [2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol807 = [0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol808 = [1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol809 = [0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol810 = [2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0] pubkeycol811 = [1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2] pubkeycol812 = [1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol813 = [1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol814 = [1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol815 = [2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol816 = [0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol817 = [1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol818 = [2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol819 = [2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol820 = [2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol821 = [1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol822 = [0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1] pubkeycol823 = [2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol824 = [1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0] pubkeycol825 = [2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol826 = [0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol827 = [1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0] pubkeycol828 = [1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1] pubkeycol829 = [1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol830 = [2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol831 = [2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0] pubkeycol832 = [1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol833 = [0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol834 = [2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol835 = [1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0] pubkeycol836 = [1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1] pubkeycol837 = [0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol838 = [1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol839 = [1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0] pubkeycol840 = [1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol841 = [1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0] pubkeycol842 = [0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2] pubkeycol843 = [0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol844 = [2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol845 = [1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol846 = [1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2] pubkeycol847 = [0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1] pubkeycol848 = [2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol849 = [0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2] pubkeycol850 = [2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol851 = [1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol852 = [0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol853 = [1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol854 = [1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol855 = [0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2] pubkeycol856 = [2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol857 = [1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol858 = [1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol859 = [0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol860 = [2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2] pubkeycol861 = [2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol862 = [0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol863 = [0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol864 = [1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2] pubkeycol865 = [0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1] pubkeycol866 = [1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol867 = [2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1] pubkeycol868 = [0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol869 = [1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol870 = [0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol871 = [0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol872 = [2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol873 = [0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol874 = [0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1] pubkeycol875 = [0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol876 = [2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol877 = [1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2] pubkeycol878 = [0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1] pubkeycol879 = [2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol880 = [0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1] pubkeycol881 = [1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol882 = [0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0] pubkeycol883 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol884 = [0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol885 = [1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2] pubkeycol886 = [0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol887 = [1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol888 = [1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol889 = [1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol890 = [1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1] pubkeycol891 = [0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1] pubkeycol892 = [2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1] pubkeycol893 = [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2] pubkeycol894 = [1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol895 = [0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2] pubkeycol896 = [2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol897 = [2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0] pubkeycol898 = [0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1] pubkeycol899 = [0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol900 = [0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol901 = [0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol902 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol903 = [2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol904 = [1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2] pubkeycol905 = [1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol906 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1] pubkeycol907 = [2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2] pubkeycol908 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2] pubkeycol909 = [2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol910 = [1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1] pubkeycol911 = [0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0] pubkeycol912 = [1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0] pubkeycol913 = [0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol914 = [2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol915 = [2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2] pubkeycol916 = [1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol917 = [0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol918 = [0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol919 = [0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0] pubkeycol920 = [0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol921 = [0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1] pubkeycol922 = [2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol923 = [0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2] pubkeycol924 = [1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol925 = [1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2] pubkeycol926 = [0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0] pubkeycol927 = [0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0] pubkeycol928 = [1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0] pubkeycol929 = [1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol930 = [2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol931 = [2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol932 = [2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol933 = [2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol934 = [2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol935 = [0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol936 = [1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1] pubkeycol937 = [1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1] pubkeycol938 = [2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol939 = [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0] pubkeycol940 = [0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2] pubkeycol941 = [0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol942 = [0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol943 = [1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1] pubkeycol944 = [0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol945 = [2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol946 = [0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol947 = [2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0] pubkeycol948 = [1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol949 = [1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol950 = [2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol951 = [0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol952 = [1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol953 = [1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol954 = [0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0] pubkeycol955 = [2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1] pubkeycol956 = [0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol957 = [2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1] pubkeycol958 = [0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol959 = [2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol960 = [0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol961 = [1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol962 = [2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol963 = [0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0] pubkeycol964 = [2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol965 = [2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2] pubkeycol966 = [0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol967 = [1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol968 = [1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol969 = [0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol970 = [0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0] pubkeycol971 = [1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol972 = [0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0] pubkeycol973 = [0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol974 = [0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1] pubkeycol975 = [0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol976 = [1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol977 = [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol978 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol979 = [1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol980 = [0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol981 = [0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0] pubkeycol982 = [1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol983 = [0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol984 = [0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1] pubkeycol985 = [1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol986 = [2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol987 = [0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol988 = [1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0] pubkeycol989 = [2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol990 = [1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol991 = [2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1] pubkeycol992 = [0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1] pubkeycol993 = [2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol994 = [0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol995 = [0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0] pubkeycol996 = [1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol997 = [0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2] pubkeycol998 = [1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol999 = [2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2] pubkeycol1000 = [0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol1001 = [1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol1002 = [1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol1003 = [1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol1004 = [2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol1005 = [1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2] pubkeycol1006 = [0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol1007 = [2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol1008 = [0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol1009 = [0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol1010 = [0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol1011 = [2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0] pubkeycol1012 = [0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2] pubkeycol1013 = [1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2] pubkeycol1014 = [2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2] pubkeycol1015 = [0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0] pubkeycol1016 = [2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol1017 = [0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol1018 = [0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol1019 = [2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol1020 = [0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol1021 = [0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol1022 = [2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol1023 = [1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol1024 = [0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol1025 = [1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol1026 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol1027 = [1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol1028 = [2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1] pubkeycol1029 = [2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1] pubkeycol1030 = [2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol1031 = [1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol1032 = [1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol1033 = [0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol1034 = [0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol1035 = [1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol1036 = [0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol1037 = [2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1] pubkeycol1038 = [0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol1039 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol1040 = [1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol1041 = [1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol1042 = [0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0] pubkeycol1043 = [2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol1044 = [0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol1045 = [1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1] pubkeycol1046 = [0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol1047 = [0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2] pubkeycol1048 = [0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol1049 = [2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol1050 = [1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2] pubkeycol1051 = [0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2] pubkeycol1052 = [2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol1053 = [2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol1054 = [2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol1055 = [0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol1056 = [0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol1057 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol1058 = [2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1] pubkeycol1059 = [2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol1060 = [1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0] pubkeycol1061 = [1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1] pubkeycol1062 = [2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1] pubkeycol1063 = [2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol1064 = [0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0] pubkeycol1065 = [1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol1066 = [1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1] pubkeycol1067 = [0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol1068 = [2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol1069 = [2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol1070 = [2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1] pubkeycol1071 = [1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol1072 = [0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0] pubkeycol1073 = [2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol1074 = [0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol1075 = [0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol1076 = [0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol1077 = [2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2] pubkeycol1078 = [2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol1079 = [2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol1080 = [0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol1081 = [0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol1082 = [2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol1083 = [2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1] pubkeycol1084 = [0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0] pubkeycol1085 = [2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol1086 = [2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0] pubkeycol1087 = [1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol1088 = [2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2] pubkeycol1089 = [2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol1090 = [1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0] pubkeycol1091 = [1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol1092 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol1093 = [0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol1094 = [0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol1095 = [1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol1096 = [1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol1097 = [0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol1098 = [0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol1099 = [2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol1100 = [0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0] pubkeycol1101 = [2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1] pubkeycol1102 = [2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2] pubkeycol1103 = [1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol1104 = [1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol1105 = [2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol1106 = [1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0] pubkeycol1107 = [1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol1108 = [2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol1109 = [2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1] pubkeycol1110 = [2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1] pubkeycol1111 = [1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol1112 = [2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2] pubkeycol1113 = [0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol1114 = [2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0] pubkeycol1115 = [0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol1116 = [1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2] pubkeycol1117 = [0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0] pubkeycol1118 = [2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0] pubkeycol1119 = [2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol1120 = [1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol1121 = [1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0] pubkeycol1122 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol1123 = [2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1] pubkeycol1124 = [1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1125 = [0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol1126 = [1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol1127 = [1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol1128 = [2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol1129 = [0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol1130 = [0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1] pubkeycol1131 = [0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol1132 = [1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1] pubkeycol1133 = [0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol1134 = [1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol1135 = [0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol1136 = [1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0] pubkeycol1137 = [2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2] pubkeycol1138 = [0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0] pubkeycol1139 = [2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol1140 = [1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol1141 = [2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol1142 = [2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol1143 = [2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol1144 = [2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol1145 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol1146 = [2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol1147 = [0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol1148 = [1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0] pubkeycol1149 = [1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol1150 = [0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol1151 = [1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol1152 = [2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol1153 = [1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol1154 = [2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0] pubkeycol1155 = [2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol1156 = [1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0] pubkeycol1157 = [2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1] pubkeycol1158 = [1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol1159 = [0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol1160 = [2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0] pubkeycol1161 = [0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol1162 = [1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol1163 = [0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol1164 = [1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol1165 = [2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2] pubkeycol1166 = [2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1] pubkeycol1167 = [1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol1168 = [2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol1169 = [1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0] pubkeycol1170 = [1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol1171 = [0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol1172 = [1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol1173 = [2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol1174 = [2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0] pubkeycol1175 = [1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2] pubkeycol1176 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol1177 = [2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol1178 = [0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol1179 = [0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1] pubkeycol1180 = [0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol1181 = [1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol1182 = [0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol1183 = [1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2] pubkeycol1184 = [1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol1185 = [1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0] pubkeycol1186 = [0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2] pubkeycol1187 = [0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol1188 = [1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0] pubkeycol1189 = [2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0] pubkeycol1190 = [0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2] pubkeycol1191 = [2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol1192 = [1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol1193 = [2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol1194 = [1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol1195 = [1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0] pubkeycol1196 = [0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol1197 = [2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol1198 = [2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2] pubkeycol1199 = [0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol1200 = [2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1] pubkeycol1201 = [1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0] pubkeycol1202 = [1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0] pubkeycol1203 = [1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol1204 = [1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1] pubkeycol1205 = [0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0] pubkeycol1206 = [1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0] pubkeycol1207 = [2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2] pubkeycol1208 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0] pubkeycol1209 = [0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol1210 = [1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1] pubkeycol1211 = [0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol1212 = [0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0] pubkeycol1213 = [0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol1214 = [2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2] pubkeycol1215 = [1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol1216 = [1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2] pubkeycol1217 = [1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0] pubkeycol1218 = [0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol1219 = [0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol1220 = [0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol1221 = [0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1] pubkeycol1222 = [0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol1223 = [0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol1224 = [1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol1225 = [0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol1226 = [0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol1227 = [1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol1228 = [0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol1229 = [0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol1230 = [2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol1231 = [1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol1232 = [2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol1233 = [2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0] pubkeycol1234 = [2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol1235 = [0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol1236 = [2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol1237 = [1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol1238 = [1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol1239 = [0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0] pubkeycol1240 = [1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol1241 = [2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1] pubkeycol1242 = [1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol1243 = [1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol1244 = [0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1] pubkeycol1245 = [1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol1246 = [2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2] pubkeycol1247 = [2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol1248 = [0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol1249 = [1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol1250 = [1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1] pubkeycol1251 = [1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol1252 = [0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1] pubkeycol1253 = [2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol1254 = [2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2] pubkeycol1255 = [0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0] pubkeycol1256 = [1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1] pubkeycol1257 = [2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol1258 = [2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol1259 = [1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol1260 = [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1] pubkeycol1261 = [2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0] pubkeycol1262 = [0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol1263 = [1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol1264 = [0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol1265 = [0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol1266 = [2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol1267 = [0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol1268 = [0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1] pubkeycol1269 = [1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol1270 = [2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0] pubkeycol1271 = [1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol1272 = [0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2] pubkeycol1273 = [1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol1274 = [1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol1275 = [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1] pubkeycol1276 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0] pubkeycol1277 = [2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0] pubkeycol1278 = [2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1] pubkeycol1279 = [2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2] pubkeycol1280 = [1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1] pubkeycol1281 = [1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol1282 = [0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol1283 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1] pubkeycol1284 = [0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol1285 = [0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2] pubkeycol1286 = [2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2] pubkeycol1287 = [1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol1288 = [2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol1289 = [2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol1290 = [0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0] pubkeycol1291 = [1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol1292 = [2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2] pubkeycol1293 = [2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol1294 = [2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol1295 = [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol1296 = [2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0] pubkeycol1297 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0] pubkeycol1298 = [0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0] pubkeycol1299 = [2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol1300 = [0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol1301 = [2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol1302 = [1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol1303 = [0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol1304 = [0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol1305 = [2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol1306 = [2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1] pubkeycol1307 = [1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol1308 = [0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2] pubkeycol1309 = [1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol1310 = [1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2] pubkeycol1311 = [0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol1312 = [0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol1313 = [2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol1314 = [2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol1315 = [0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol1316 = [0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol1317 = [0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol1318 = [1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol1319 = [1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol1320 = [2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1] pubkeycol1321 = [0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol1322 = [0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2] pubkeycol1323 = [2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2] pubkeycol1324 = [1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol1325 = [2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0] pubkeycol1326 = [0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol1327 = [0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol1328 = [0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol1329 = [2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol1330 = [1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol1331 = [0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol1332 = [1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1] pubkeycol1333 = [1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol1334 = [0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol1335 = [2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2] pubkeycol1336 = [1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol1337 = [2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2] pubkeycol1338 = [0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2] pubkeycol1339 = [0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1] pubkeycol1340 = [1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1] pubkeycol1341 = [1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol1342 = [2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2] pubkeycol1343 = [0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol1344 = [2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol1345 = [0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0] pubkeycol1346 = [0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2] pubkeycol1347 = [2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol1348 = [0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2] pubkeycol1349 = [1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol1350 = [1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0] pubkeycol1351 = [2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol1352 = [1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol1353 = [0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1] pubkeycol1354 = [1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol1355 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2] pubkeycol1356 = [2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol1357 = [2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol1358 = [0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol1359 = [2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2] pubkeycol1360 = [2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0] pubkeycol1361 = [2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol1362 = [1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol1363 = [1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2] pubkeycol1364 = [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol1365 = [0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol1366 = [1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol1367 = [1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol1368 = [1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol1369 = [2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol1370 = [0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1] pubkeycol1371 = [0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol1372 = [1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol1373 = [1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol1374 = [2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol1375 = [1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol1376 = [2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol1377 = [2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0] pubkeycol1378 = [1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1] pubkeycol1379 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol1380 = [0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0] pubkeycol1381 = [0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0] pubkeycol1382 = [0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0] pubkeycol1383 = [1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol1384 = [0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol1385 = [0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1] pubkeycol1386 = [0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2] pubkeycol1387 = [0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol1388 = [2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol1389 = [2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol1390 = [0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2] pubkeycol1391 = [2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1392 = [1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol1393 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol1394 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2] pubkeycol1395 = [0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol1396 = [0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol1397 = [2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol1398 = [1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1] pubkeycol1399 = [2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2] pubkeycol1400 = [2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2] pubkeycol1401 = [2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol1402 = [0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol1403 = [0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol1404 = [0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol1405 = [0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol1406 = [0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol1407 = [1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol1408 = [2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol1409 = [0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2] pubkeycol1410 = [1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol1411 = [1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol1412 = [0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol1413 = [2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol1414 = [0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol1415 = [1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2] pubkeycol1416 = [0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol1417 = [0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0] pubkeycol1418 = [1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol1419 = [1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol1420 = [2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol1421 = [1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol1422 = [2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1] pubkeycol1423 = [2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1] pubkeycol1424 = [0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2] pubkeycol1425 = [0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol1426 = [0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol1427 = [2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol1428 = [1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol1429 = [2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol1430 = [0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol1431 = [1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol1432 = [0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol1433 = [0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2] pubkeycol1434 = [1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol1435 = [0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol1436 = [2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol1437 = [1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol1438 = [1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol1439 = [0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0] pubkeycol1440 = [0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0] pubkeycol1441 = [0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1] pubkeycol1442 = [2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol1443 = [1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol1444 = [1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0] pubkeycol1445 = [1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol1446 = [2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol1447 = [0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol1448 = [2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol1449 = [0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol1450 = [2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1] pubkeycol1451 = [1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol1452 = [0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1] pubkeycol1453 = [2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1] pubkeycol1454 = [0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol1455 = [0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol1456 = [1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2] pubkeycol1457 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol1458 = [1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol1459 = [1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2] pubkeycol1460 = [1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol1461 = [0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1] pubkeycol1462 = [1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1] pubkeycol1463 = [2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0] pubkeycol1464 = [0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol1465 = [2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol1466 = [0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1] pubkeycol1467 = [1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol1468 = [2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0] pubkeycol1469 = [1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0] pubkeycol1470 = [0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol1471 = [2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol1472 = [1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol1473 = [1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol1474 = [1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol1475 = [2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0] pubkeycol1476 = [1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2] pubkeycol1477 = [0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol1478 = [1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol1479 = [1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol1480 = [2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol1481 = [2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2] pubkeycol1482 = [1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol1483 = [0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0] pubkeycol1484 = [0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0] pubkeycol1485 = [1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0] pubkeycol1486 = [2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol1487 = [0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol1488 = [1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol1489 = [0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol1490 = [2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol1491 = [2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol1492 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol1493 = [0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0] pubkeycol1494 = [1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol1495 = [0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0] pubkeycol1496 = [0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol1497 = [1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol1498 = [1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol1499 = [1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol1500 = [2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol1501 = [1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol1502 = [2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol1503 = [1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol1504 = [1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1] pubkeycol1505 = [2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol1506 = [2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2] pubkeycol1507 = [1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol1508 = [2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2] pubkeycol1509 = [0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol1510 = [2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1511 = [1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol1512 = [0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol1513 = [0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0] pubkeycol1514 = [0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol1515 = [0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol1516 = [2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol1517 = [2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol1518 = [2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol1519 = [1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol1520 = [0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol1521 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol1522 = [1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol1523 = [2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2] pubkeycol1524 = [0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol1525 = [1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1] pubkeycol1526 = [1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol1527 = [0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2] pubkeycol1528 = [2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0] pubkeycol1529 = [1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol1530 = [2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0] pubkeycol1531 = [1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol1532 = [0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2] pubkeycol1533 = [1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol1534 = [2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0] pubkeycol1535 = [2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2] pubkeycol1536 = [0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol1537 = [1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol1538 = [0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol1539 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2] pubkeycol1540 = [1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol1541 = [2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0] pubkeycol1542 = [0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2] pubkeycol1543 = [0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2] pubkeycol1544 = [1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1] pubkeycol1545 = [2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol1546 = [0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1] pubkeycol1547 = [2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2] pubkeycol1548 = [1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol1549 = [0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol1550 = [1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol1551 = [1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol1552 = [1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol1553 = [2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1] pubkeycol1554 = [2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol1555 = [2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0]