kilobytes = 61.4111056431764 q = 3 m = 7 n = 1236 s = 0 t = 26 u = 52 k = 872 w = 39 ciphertext = [2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2] recovered_plaintext_using_secret_key = True pubkeycol364 = [2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1] pubkeycol365 = [0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0] pubkeycol366 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol367 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol368 = [2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol369 = [2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol370 = [1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0] pubkeycol371 = [2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol372 = [1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol373 = [1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol374 = [1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol375 = [0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol376 = [0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol377 = [2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0] pubkeycol378 = [2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol379 = [2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol380 = [1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol381 = [2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol382 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1] pubkeycol383 = [2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol384 = [0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2] pubkeycol385 = [2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2] pubkeycol386 = [2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2] pubkeycol387 = [1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2] pubkeycol388 = [2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2] pubkeycol389 = [1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol390 = [2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol391 = [0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2] pubkeycol392 = [2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol393 = [1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0] pubkeycol394 = [2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol395 = [0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol396 = [0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol397 = [1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol398 = [1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2] pubkeycol399 = [1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol400 = [1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2] pubkeycol401 = [0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol402 = [1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol403 = [2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol404 = [0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0] pubkeycol405 = [2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol406 = [1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol407 = [0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol408 = [1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol409 = [0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol410 = [1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol411 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol412 = [1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol413 = [2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol414 = [2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1] pubkeycol415 = [1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol416 = [2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol417 = [1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2] pubkeycol418 = [2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0] pubkeycol419 = [0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol420 = [2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol421 = [2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol422 = [1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol423 = [1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol424 = [0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol425 = [0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol426 = [2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol427 = [2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol428 = [1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2] pubkeycol429 = [2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol430 = [1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0] pubkeycol431 = [0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2] pubkeycol432 = [1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol433 = [0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol434 = [2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol435 = [1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2] pubkeycol436 = [2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0] pubkeycol437 = [0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol438 = [2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0] pubkeycol439 = [2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol440 = [1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol441 = [2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol442 = [0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0] pubkeycol443 = [0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1] pubkeycol444 = [2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol445 = [1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol446 = [1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0] pubkeycol447 = [1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1] pubkeycol448 = [1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol449 = [0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2] pubkeycol450 = [0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol451 = [1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol452 = [1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol453 = [0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol454 = [1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0] pubkeycol455 = [0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol456 = [2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol457 = [0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1] pubkeycol458 = [0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol459 = [2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol460 = [2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol461 = [1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol462 = [0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2] pubkeycol463 = [2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2] pubkeycol464 = [1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol465 = [2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2] pubkeycol466 = [2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol467 = [2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2] pubkeycol468 = [0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol469 = [1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol470 = [2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol471 = [1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol472 = [2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2] pubkeycol473 = [0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol474 = [0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1] pubkeycol475 = [0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol476 = [0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol477 = [1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol478 = [0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol479 = [2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2] pubkeycol480 = [0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1] pubkeycol481 = [0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1] pubkeycol482 = [0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2] pubkeycol483 = [1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol484 = [0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol485 = [1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol486 = [0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol487 = [2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol488 = [2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1] pubkeycol489 = [1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol490 = [0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2] pubkeycol491 = [0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol492 = [1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol493 = [0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol494 = [1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol495 = [2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol496 = [1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol497 = [2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol498 = [1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2] pubkeycol499 = [0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol500 = [0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0] pubkeycol501 = [0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol502 = [1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0] pubkeycol503 = [2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol504 = [0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol505 = [0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol506 = [0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol507 = [0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0] pubkeycol508 = [0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol509 = [0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol510 = [1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol511 = [1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol512 = [1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol513 = [2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol514 = [1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol515 = [1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol516 = [1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol517 = [0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol518 = [2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol519 = [0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2] pubkeycol520 = [1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2] pubkeycol521 = [2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0] pubkeycol522 = [1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1] pubkeycol523 = [1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol524 = [0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1] pubkeycol525 = [2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0] pubkeycol526 = [1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol527 = [1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol528 = [0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1] pubkeycol529 = [0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol530 = [1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol531 = [0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol532 = [0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol533 = [2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0] pubkeycol534 = [1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol535 = [0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2] pubkeycol536 = [1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol537 = [0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2] pubkeycol538 = [1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol539 = [1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1] pubkeycol540 = [2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol541 = [2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol542 = [1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol543 = [0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol544 = [1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol545 = [0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1] pubkeycol546 = [0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol547 = [0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol548 = [1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol549 = [2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol550 = [1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0] pubkeycol551 = [1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol552 = [0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol553 = [0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol554 = [0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol555 = [1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0] pubkeycol556 = [2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol557 = [0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol558 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol559 = [1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol560 = [2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0] pubkeycol561 = [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2] pubkeycol562 = [0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol563 = [1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol564 = [0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol565 = [2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol566 = [0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol567 = [1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2] pubkeycol568 = [2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0] pubkeycol569 = [1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol570 = [2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2] pubkeycol571 = [0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol572 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1] pubkeycol573 = [0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol574 = [1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol575 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol576 = [1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol577 = [0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol578 = [0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0] pubkeycol579 = [0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1] pubkeycol580 = [2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol581 = [1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0] pubkeycol582 = [2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol583 = [1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2] pubkeycol584 = [1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol585 = [1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1] pubkeycol586 = [0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol587 = [0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol588 = [1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol589 = [1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol590 = [0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol591 = [2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol592 = [2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol593 = [1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2] pubkeycol594 = [1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol595 = [2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1] pubkeycol596 = [0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol597 = [1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol598 = [0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol599 = [0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol600 = [0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol601 = [1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol602 = [1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1] pubkeycol603 = [1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol604 = [0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0] pubkeycol605 = [1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol606 = [1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol607 = [0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1] pubkeycol608 = [1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol609 = [2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2] pubkeycol610 = [1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol611 = [2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol612 = [0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol613 = [1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol614 = [0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1] pubkeycol615 = [1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol616 = [2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol617 = [1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1] pubkeycol618 = [0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol619 = [2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol620 = [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol621 = [2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol622 = [1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol623 = [0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1] pubkeycol624 = [2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol625 = [0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol626 = [0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1] pubkeycol627 = [1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol628 = [2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol629 = [1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1] pubkeycol630 = [0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0] pubkeycol631 = [2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2] pubkeycol632 = [2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol633 = [0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol634 = [1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol635 = [2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol636 = [0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol637 = [1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1] pubkeycol638 = [2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol639 = [2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol640 = [2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol641 = [0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0] pubkeycol642 = [0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol643 = [2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2] pubkeycol644 = [0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol645 = [1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol646 = [1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1] pubkeycol647 = [2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol648 = [1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol649 = [1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2] pubkeycol650 = [1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol651 = [2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2] pubkeycol652 = [0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2] pubkeycol653 = [2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol654 = [2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol655 = [1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol656 = [1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol657 = [1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol658 = [0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol659 = [0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1] pubkeycol660 = [1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol661 = [0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol662 = [0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol663 = [1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1] pubkeycol664 = [2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0] pubkeycol665 = [0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol666 = [1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol667 = [2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol668 = [2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol669 = [0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0] pubkeycol670 = [1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol671 = [1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2] pubkeycol672 = [1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0] pubkeycol673 = [1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol674 = [1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0] pubkeycol675 = [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2] pubkeycol676 = [2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0] pubkeycol677 = [0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol678 = [2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol679 = [2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol680 = [0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol681 = [1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol682 = [1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol683 = [0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol684 = [1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol685 = [0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1] pubkeycol686 = [2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0] pubkeycol687 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0] pubkeycol688 = [1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol689 = [2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2] pubkeycol690 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0] pubkeycol691 = [0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol692 = [0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol693 = [2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol694 = [0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol695 = [2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol696 = [2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol697 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol698 = [1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol699 = [1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2] pubkeycol700 = [0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol701 = [1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol702 = [0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol703 = [0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol704 = [2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol705 = [1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2] pubkeycol706 = [0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol707 = [0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1] pubkeycol708 = [2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol709 = [2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2] pubkeycol710 = [0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0] pubkeycol711 = [0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol712 = [2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol713 = [1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol714 = [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2] pubkeycol715 = [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol716 = [0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol717 = [2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1] pubkeycol718 = [0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol719 = [2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1] pubkeycol720 = [0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol721 = [2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol722 = [1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol723 = [1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol724 = [1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol725 = [1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1] pubkeycol726 = [0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2] pubkeycol727 = [2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0] pubkeycol728 = [2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2] pubkeycol729 = [2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol730 = [0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2] pubkeycol731 = [2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1] pubkeycol732 = [2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol733 = [0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1] pubkeycol734 = [0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol735 = [1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol736 = [0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol737 = [1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0] pubkeycol738 = [2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol739 = [1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol740 = [2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2] pubkeycol741 = [1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol742 = [1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1] pubkeycol743 = [2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol744 = [0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0] pubkeycol745 = [0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0] pubkeycol746 = [1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol747 = [2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol748 = [1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol749 = [0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol750 = [1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0] pubkeycol751 = [2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol752 = [0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol753 = [1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol754 = [0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol755 = [1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol756 = [1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol757 = [1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2] pubkeycol758 = [0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol759 = [0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol760 = [2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol761 = [0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol762 = [0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol763 = [1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1] pubkeycol764 = [0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol765 = [1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol766 = [0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol767 = [2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol768 = [1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol769 = [2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol770 = [0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol771 = [0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol772 = [1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol773 = [1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1] pubkeycol774 = [0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol775 = [0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol776 = [0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol777 = [1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2] pubkeycol778 = [0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol779 = [0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol780 = [0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol781 = [0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1] pubkeycol782 = [1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol783 = [2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1] pubkeycol784 = [1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol785 = [1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0] pubkeycol786 = [2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0] pubkeycol787 = [0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol788 = [0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol789 = [0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1] pubkeycol790 = [1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol791 = [0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol792 = [0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol793 = [0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol794 = [2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol795 = [2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0] pubkeycol796 = [1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2] pubkeycol797 = [1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol798 = [0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol799 = [2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol800 = [0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol801 = [1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol802 = [1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol803 = [1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol804 = [2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0] pubkeycol805 = [1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0] pubkeycol806 = [2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol807 = [2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol808 = [2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1] pubkeycol809 = [0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol810 = [2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1] pubkeycol811 = [0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol812 = [2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol813 = [0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0] pubkeycol814 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol815 = [2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2] pubkeycol816 = [2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol817 = [0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0] pubkeycol818 = [0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol819 = [1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2] pubkeycol820 = [2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1] pubkeycol821 = [0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1] pubkeycol822 = [2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol823 = [1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol824 = [2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol825 = [2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol826 = [0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol827 = [0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol828 = [1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol829 = [1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol830 = [1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol831 = [1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol832 = [1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1] pubkeycol833 = [0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol834 = [1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2] pubkeycol835 = [1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1] pubkeycol836 = [1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol837 = [0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol838 = [1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol839 = [2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1] pubkeycol840 = [2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol841 = [0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1] pubkeycol842 = [0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0] pubkeycol843 = [2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2] pubkeycol844 = [1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol845 = [0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol846 = [2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0] pubkeycol847 = [2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol848 = [1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol849 = [1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol850 = [2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol851 = [1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol852 = [2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol853 = [1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol854 = [0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol855 = [2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol856 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol857 = [2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol858 = [2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol859 = [2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol860 = [2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol861 = [0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol862 = [1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0] pubkeycol863 = [1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2] pubkeycol864 = [1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol865 = [2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2] pubkeycol866 = [1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol867 = [1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol868 = [0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol869 = [2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0] pubkeycol870 = [1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol871 = [2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol872 = [0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0] pubkeycol873 = [1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0] pubkeycol874 = [2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol875 = [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol876 = [0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2] pubkeycol877 = [1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol878 = [0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1] pubkeycol879 = [2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol880 = [1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1] pubkeycol881 = [2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1] pubkeycol882 = [2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1] pubkeycol883 = [1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0] pubkeycol884 = [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1] pubkeycol885 = [1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1] pubkeycol886 = [1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol887 = [1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2] pubkeycol888 = [1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2] pubkeycol889 = [1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol890 = [2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2] pubkeycol891 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol892 = [0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0] pubkeycol893 = [1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2] pubkeycol894 = [1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1] pubkeycol895 = [1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0] pubkeycol896 = [0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol897 = [2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol898 = [1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol899 = [0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0] pubkeycol900 = [1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol901 = [2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2] pubkeycol902 = [0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol903 = [2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol904 = [1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol905 = [2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1] pubkeycol906 = [1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol907 = [1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1] pubkeycol908 = [2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol909 = [2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol910 = [2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol911 = [2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol912 = [2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol913 = [1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol914 = [2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol915 = [1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol916 = [1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol917 = [2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol918 = [2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0] pubkeycol919 = [2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2] pubkeycol920 = [2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol921 = [2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2] pubkeycol922 = [0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol923 = [0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol924 = [1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol925 = [2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol926 = [2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol927 = [0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol928 = [2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol929 = [0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol930 = [2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol931 = [0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol932 = [0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol933 = [2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol934 = [0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol935 = [2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2] pubkeycol936 = [1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol937 = [0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol938 = [2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol939 = [1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol940 = [0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1] pubkeycol941 = [1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol942 = [2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2] pubkeycol943 = [0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2] pubkeycol944 = [1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol945 = [2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol946 = [1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0] pubkeycol947 = [1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2] pubkeycol948 = [2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol949 = [2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0] pubkeycol950 = [2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol951 = [1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1] pubkeycol952 = [0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol953 = [2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol954 = [0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0] pubkeycol955 = [0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0] pubkeycol956 = [2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol957 = [0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0] pubkeycol958 = [2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0] pubkeycol959 = [0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol960 = [1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol961 = [0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol962 = [0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol963 = [2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0] pubkeycol964 = [1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol965 = [0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol966 = [2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol967 = [1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1] pubkeycol968 = [0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1] pubkeycol969 = [0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol970 = [2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol971 = [0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol972 = [1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol973 = [2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol974 = [2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol975 = [1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol976 = [2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2] pubkeycol977 = [1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol978 = [0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0] pubkeycol979 = [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol980 = [2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol981 = [1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol982 = [0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol983 = [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2] pubkeycol984 = [0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol985 = [2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol986 = [1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol987 = [2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol988 = [2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol989 = [1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol990 = [0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol991 = [2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol992 = [1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol993 = [2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0] pubkeycol994 = [0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol995 = [2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol996 = [2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0] pubkeycol997 = [2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol998 = [2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol999 = [2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol1000 = [0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol1001 = [1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol1002 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1] pubkeycol1003 = [2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol1004 = [0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0] pubkeycol1005 = [2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol1006 = [1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol1007 = [2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol1008 = [0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol1009 = [0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol1010 = [2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol1011 = [2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol1012 = [1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0] pubkeycol1013 = [2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol1014 = [0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol1015 = [1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1] pubkeycol1016 = [0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol1017 = [1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol1018 = [2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol1019 = [0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1] pubkeycol1020 = [2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0] pubkeycol1021 = [0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0] pubkeycol1022 = [2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol1023 = [0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol1024 = [2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol1025 = [2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol1026 = [2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol1027 = [1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol1028 = [2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol1029 = [2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol1030 = [1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2] pubkeycol1031 = [0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0] pubkeycol1032 = [0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol1033 = [0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol1034 = [0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2] pubkeycol1035 = [2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0] pubkeycol1036 = [2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol1037 = [2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol1038 = [1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol1039 = [0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2] pubkeycol1040 = [2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1] pubkeycol1041 = [2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol1042 = [1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol1043 = [1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0] pubkeycol1044 = [1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol1045 = [1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1] pubkeycol1046 = [0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol1047 = [0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol1048 = [1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2] pubkeycol1049 = [1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol1050 = [0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol1051 = [2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol1052 = [2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol1053 = [0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1] pubkeycol1054 = [1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol1055 = [2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol1056 = [2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol1057 = [1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol1058 = [2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol1059 = [2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0] pubkeycol1060 = [2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0] pubkeycol1061 = [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0] pubkeycol1062 = [2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol1063 = [0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1] pubkeycol1064 = [0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol1065 = [0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol1066 = [0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol1067 = [1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol1068 = [0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol1069 = [1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0] pubkeycol1070 = [1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol1071 = [0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol1072 = [1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2] pubkeycol1073 = [1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol1074 = [1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2] pubkeycol1075 = [1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1] pubkeycol1076 = [0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2] pubkeycol1077 = [1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0] pubkeycol1078 = [0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1] pubkeycol1079 = [2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2] pubkeycol1080 = [1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1] pubkeycol1081 = [1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol1082 = [0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1] pubkeycol1083 = [1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol1084 = [0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2] pubkeycol1085 = [2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2] pubkeycol1086 = [0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol1087 = [0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol1088 = [2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol1089 = [0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol1090 = [2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1] pubkeycol1091 = [2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0] pubkeycol1092 = [0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol1093 = [2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol1094 = [1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0] pubkeycol1095 = [1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0] pubkeycol1096 = [2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0] pubkeycol1097 = [0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol1098 = [2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol1099 = [1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1] pubkeycol1100 = [1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol1101 = [2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2] pubkeycol1102 = [2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol1103 = [1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol1104 = [2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2] pubkeycol1105 = [1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol1106 = [0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1] pubkeycol1107 = [0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol1108 = [1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol1109 = [0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol1110 = [2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol1111 = [0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2] pubkeycol1112 = [0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2] pubkeycol1113 = [1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol1114 = [2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol1115 = [0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol1116 = [2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0] pubkeycol1117 = [1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1] pubkeycol1118 = [1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol1119 = [2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0] pubkeycol1120 = [0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0] pubkeycol1121 = [0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol1122 = [1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol1123 = [2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol1124 = [1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2] pubkeycol1125 = [0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol1126 = [1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol1127 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol1128 = [2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol1129 = [2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2] pubkeycol1130 = [0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol1131 = [1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol1132 = [2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1] pubkeycol1133 = [0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol1134 = [1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol1135 = [2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2] pubkeycol1136 = [2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2] pubkeycol1137 = [2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol1138 = [1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol1139 = [2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0] pubkeycol1140 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1] pubkeycol1141 = [0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol1142 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1] pubkeycol1143 = [0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1] pubkeycol1144 = [2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol1145 = [1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol1146 = [2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol1147 = [1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol1148 = [2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol1149 = [0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0] pubkeycol1150 = [1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol1151 = [2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol1152 = [0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol1153 = [2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol1154 = [1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol1155 = [0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol1156 = [0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1] pubkeycol1157 = [1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1] pubkeycol1158 = [0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol1159 = [2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol1160 = [0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol1161 = [0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0] pubkeycol1162 = [1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol1163 = [2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol1164 = [1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol1165 = [2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol1166 = [0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol1167 = [1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1] pubkeycol1168 = [1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol1169 = [1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol1170 = [1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol1171 = [0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol1172 = [0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol1173 = [2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol1174 = [2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0] pubkeycol1175 = [1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol1176 = [1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol1177 = [1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol1178 = [0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0] pubkeycol1179 = [2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol1180 = [2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2] pubkeycol1181 = [2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol1182 = [2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol1183 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol1184 = [2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol1185 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol1186 = [2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol1187 = [1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol1188 = [0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol1189 = [1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol1190 = [0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol1191 = [0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0] pubkeycol1192 = [0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol1193 = [1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol1194 = [0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol1195 = [2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol1196 = [1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2] pubkeycol1197 = [1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol1198 = [0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1] pubkeycol1199 = [2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol1200 = [0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1] pubkeycol1201 = [0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol1202 = [2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol1203 = [2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol1204 = [1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol1205 = [0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2] pubkeycol1206 = [1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol1207 = [2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2] pubkeycol1208 = [0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol1209 = [2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol1210 = [2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0] pubkeycol1211 = [1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol1212 = [1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2] pubkeycol1213 = [0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0] pubkeycol1214 = [2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1] pubkeycol1215 = [2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol1216 = [0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0] pubkeycol1217 = [0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2] pubkeycol1218 = [0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0] pubkeycol1219 = [1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol1220 = [1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol1221 = [2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0] pubkeycol1222 = [0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol1223 = [0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol1224 = [1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol1225 = [0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2] pubkeycol1226 = [1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1] pubkeycol1227 = [2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol1228 = [1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol1229 = [2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2] pubkeycol1230 = [2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol1231 = [0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0] pubkeycol1232 = [0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1] pubkeycol1233 = [1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol1234 = [1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0] pubkeycol1235 = [1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2]