kilobytes = 87.9615492526689 q = 3 m = 7 n = 1613 s = 0 t = 26 u = 52 k = 1249 w = 39 ciphertext = [1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol364 = [1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol365 = [0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol366 = [2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol367 = [2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2] pubkeycol368 = [1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0] pubkeycol369 = [0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol370 = [0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol371 = [1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol372 = [0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol373 = [2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol374 = [1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1] pubkeycol375 = [0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol376 = [2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol377 = [1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol378 = [1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol379 = [2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol380 = [1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol381 = [0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1] pubkeycol382 = [1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol383 = [0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol384 = [2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol385 = [1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1] pubkeycol386 = [0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol387 = [2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol388 = [2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol389 = [0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol390 = [0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2] pubkeycol391 = [1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2] pubkeycol392 = [0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol393 = [2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol394 = [1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol395 = [0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1] pubkeycol396 = [2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1] pubkeycol397 = [2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol398 = [2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2] pubkeycol399 = [2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol400 = [1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol401 = [0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0] pubkeycol402 = [2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol403 = [0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol404 = [2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol405 = [1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol406 = [1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0] pubkeycol407 = [2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0] pubkeycol408 = [0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1] pubkeycol409 = [1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0] pubkeycol410 = [0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol411 = [0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol412 = [2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol413 = [1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2] pubkeycol414 = [2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol415 = [0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol416 = [0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol417 = [0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol418 = [2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol419 = [0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol420 = [2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol421 = [0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1] pubkeycol422 = [2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol423 = [2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol424 = [2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol425 = [1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol426 = [1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol427 = [1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol428 = [1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol429 = [0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol430 = [1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol431 = [1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol432 = [0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol433 = [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol434 = [1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol435 = [2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol436 = [1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol437 = [1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol438 = [0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol439 = [2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol440 = [0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0] pubkeycol441 = [2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol442 = [2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2] pubkeycol443 = [2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol444 = [1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol445 = [0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1] pubkeycol446 = [1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol447 = [1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol448 = [1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol449 = [1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol450 = [2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol451 = [2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol452 = [2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol453 = [2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol454 = [0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol455 = [0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol456 = [1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol457 = [1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol458 = [0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol459 = [2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol460 = [1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol461 = [0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0] pubkeycol462 = [2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol463 = [0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2] pubkeycol464 = [0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0] pubkeycol465 = [2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2] pubkeycol466 = [0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2] pubkeycol467 = [0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol468 = [0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1] pubkeycol469 = [0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol470 = [1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol471 = [1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1] pubkeycol472 = [1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol473 = [1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol474 = [0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol475 = [1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol476 = [2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0] pubkeycol477 = [1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol478 = [0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol479 = [0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol480 = [2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol481 = [1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol482 = [1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol483 = [0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2] pubkeycol484 = [0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0] pubkeycol485 = [1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol486 = [1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol487 = [0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2] pubkeycol488 = [0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol489 = [2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol490 = [1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol491 = [2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol492 = [1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0] pubkeycol493 = [1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1] pubkeycol494 = [1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol495 = [2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol496 = [2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol497 = [0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol498 = [2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2] pubkeycol499 = [2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol500 = [0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol501 = [1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol502 = [2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol503 = [1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol504 = [1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol505 = [0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol506 = [1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol507 = [1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1] pubkeycol508 = [2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol509 = [0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol510 = [1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0] pubkeycol511 = [1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol512 = [0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol513 = [0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol514 = [0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol515 = [1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol516 = [1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol517 = [0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2] pubkeycol518 = [2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol519 = [2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol520 = [2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol521 = [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2] pubkeycol522 = [0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol523 = [2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol524 = [2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol525 = [2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0] pubkeycol526 = [0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol527 = [1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2] pubkeycol528 = [1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0] pubkeycol529 = [1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2] pubkeycol530 = [0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0] pubkeycol531 = [2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0] pubkeycol532 = [1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2] pubkeycol533 = [2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol534 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol535 = [0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol536 = [2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol537 = [1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol538 = [2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2] pubkeycol539 = [2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol540 = [1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol541 = [2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol542 = [0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0] pubkeycol543 = [0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol544 = [1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2] pubkeycol545 = [1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol546 = [2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol547 = [1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol548 = [1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol549 = [1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol550 = [1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2] pubkeycol551 = [1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol552 = [0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol553 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1] pubkeycol554 = [2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2] pubkeycol555 = [0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol556 = [2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol557 = [0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol558 = [0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol559 = [1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol560 = [2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1] pubkeycol561 = [2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol562 = [2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2] pubkeycol563 = [2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol564 = [0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1] pubkeycol565 = [1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol566 = [1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1] pubkeycol567 = [1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol568 = [1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1] pubkeycol569 = [2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0] pubkeycol570 = [1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0] pubkeycol571 = [2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol572 = [0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0] pubkeycol573 = [0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol574 = [1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0] pubkeycol575 = [1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol576 = [0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol577 = [2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol578 = [0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol579 = [2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol580 = [1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0] pubkeycol581 = [0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2] pubkeycol582 = [1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol583 = [1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol584 = [2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol585 = [0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1] pubkeycol586 = [0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol587 = [1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol588 = [1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1] pubkeycol589 = [1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol590 = [2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol591 = [1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol592 = [0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1] pubkeycol593 = [2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol594 = [0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0] pubkeycol595 = [1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol596 = [0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol597 = [0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol598 = [1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol599 = [0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0] pubkeycol600 = [1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0] pubkeycol601 = [2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1] pubkeycol602 = [0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol603 = [1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol604 = [0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol605 = [0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol606 = [1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol607 = [2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0] pubkeycol608 = [0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol609 = [2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol610 = [0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol611 = [0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol612 = [2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol613 = [1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol614 = [1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol615 = [0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol616 = [0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0] pubkeycol617 = [0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0] pubkeycol618 = [1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol619 = [2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol620 = [2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol621 = [1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol622 = [1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol623 = [2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol624 = [0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2] pubkeycol625 = [1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1] pubkeycol626 = [0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol627 = [0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1] pubkeycol628 = [1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol629 = [0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol630 = [0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol631 = [2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2] pubkeycol632 = [1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1] pubkeycol633 = [0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol634 = [2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol635 = [2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0] pubkeycol636 = [0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2] pubkeycol637 = [2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2] pubkeycol638 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2] pubkeycol639 = [0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol640 = [2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol641 = [2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2] pubkeycol642 = [1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol643 = [1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol644 = [0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1] pubkeycol645 = [0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0] pubkeycol646 = [0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol647 = [1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol648 = [0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol649 = [1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0] pubkeycol650 = [2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol651 = [2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol652 = [0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol653 = [2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol654 = [0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol655 = [0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol656 = [2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol657 = [1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol658 = [2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1] pubkeycol659 = [0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol660 = [0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol661 = [1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1] pubkeycol662 = [1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol663 = [2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2] pubkeycol664 = [1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol665 = [0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol666 = [1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol667 = [0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol668 = [2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol669 = [1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol670 = [0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol671 = [2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol672 = [1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol673 = [2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1] pubkeycol674 = [0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol675 = [2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol676 = [2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol677 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol678 = [2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol679 = [1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0] pubkeycol680 = [1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol681 = [2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol682 = [1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol683 = [0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol684 = [1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol685 = [0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol686 = [1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol687 = [1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0] pubkeycol688 = [2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1] pubkeycol689 = [0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1] pubkeycol690 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol691 = [2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol692 = [2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2] pubkeycol693 = [1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol694 = [0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol695 = [2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol696 = [1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol697 = [2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol698 = [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol699 = [2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol700 = [2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol701 = [0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2] pubkeycol702 = [1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0] pubkeycol703 = [0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2] pubkeycol704 = [1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol705 = [0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1] pubkeycol706 = [1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol707 = [1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol708 = [0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0] pubkeycol709 = [1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol710 = [0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol711 = [0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol712 = [0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol713 = [2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol714 = [1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2] pubkeycol715 = [0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol716 = [1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol717 = [0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol718 = [2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol719 = [1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0] pubkeycol720 = [1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol721 = [2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol722 = [1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol723 = [1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol724 = [2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol725 = [0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol726 = [2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2] pubkeycol727 = [1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol728 = [2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol729 = [2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0] pubkeycol730 = [2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol731 = [2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol732 = [0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol733 = [2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol734 = [0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol735 = [0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol736 = [1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol737 = [0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1] pubkeycol738 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol739 = [1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol740 = [1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2] pubkeycol741 = [0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol742 = [2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol743 = [2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol744 = [0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol745 = [1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol746 = [2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1] pubkeycol747 = [1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol748 = [2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1] pubkeycol749 = [1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0] pubkeycol750 = [0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2] pubkeycol751 = [1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol752 = [0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol753 = [2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol754 = [2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol755 = [1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol756 = [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2] pubkeycol757 = [0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol758 = [2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0] pubkeycol759 = [1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol760 = [0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol761 = [2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol762 = [0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0] pubkeycol763 = [0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol764 = [1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1] pubkeycol765 = [0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol766 = [2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2] pubkeycol767 = [2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol768 = [0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol769 = [1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol770 = [2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol771 = [0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol772 = [2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol773 = [1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol774 = [1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol775 = [2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol776 = [1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol777 = [1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol778 = [1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1] pubkeycol779 = [0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol780 = [1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0] pubkeycol781 = [1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol782 = [2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol783 = [1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1] pubkeycol784 = [0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2] pubkeycol785 = [1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol786 = [1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2] pubkeycol787 = [2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol788 = [2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2] pubkeycol789 = [1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol790 = [0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol791 = [2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol792 = [1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2] pubkeycol793 = [0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol794 = [0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol795 = [0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol796 = [2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol797 = [0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol798 = [0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol799 = [0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol800 = [0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol801 = [0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol802 = [1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1] pubkeycol803 = [0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol804 = [1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol805 = [2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2] pubkeycol806 = [0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol807 = [0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol808 = [2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol809 = [0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol810 = [2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol811 = [2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol812 = [1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol813 = [1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1] pubkeycol814 = [2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol815 = [2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1] pubkeycol816 = [1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1] pubkeycol817 = [1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2] pubkeycol818 = [0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol819 = [2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol820 = [1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1] pubkeycol821 = [0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol822 = [1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol823 = [1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol824 = [0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol825 = [2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol826 = [0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2] pubkeycol827 = [2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol828 = [1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0] pubkeycol829 = [0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol830 = [0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol831 = [1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2] pubkeycol832 = [1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1] pubkeycol833 = [1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0] pubkeycol834 = [1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol835 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol836 = [0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol837 = [2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol838 = [2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol839 = [2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1] pubkeycol840 = [2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol841 = [1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1] pubkeycol842 = [1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol843 = [1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol844 = [0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol845 = [2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol846 = [0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol847 = [1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol848 = [0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol849 = [0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol850 = [2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0] pubkeycol851 = [1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol852 = [2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1] pubkeycol853 = [1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1] pubkeycol854 = [2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol855 = [0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol856 = [1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol857 = [1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol858 = [2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol859 = [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol860 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol861 = [0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol862 = [0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol863 = [0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1] pubkeycol864 = [2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol865 = [1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol866 = [0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2] pubkeycol867 = [2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol868 = [1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol869 = [1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol870 = [1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol871 = [0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol872 = [2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol873 = [0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol874 = [2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol875 = [0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol876 = [1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1] pubkeycol877 = [2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1] pubkeycol878 = [1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol879 = [2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0] pubkeycol880 = [2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0] pubkeycol881 = [2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol882 = [2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol883 = [2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol884 = [2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol885 = [1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol886 = [2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0] pubkeycol887 = [0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol888 = [1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol889 = [2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol890 = [2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol891 = [1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2] pubkeycol892 = [0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol893 = [0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol894 = [1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol895 = [2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2] pubkeycol896 = [2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol897 = [1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol898 = [1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol899 = [2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol900 = [1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol901 = [2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol902 = [2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1] pubkeycol903 = [2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol904 = [1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol905 = [0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol906 = [1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1] pubkeycol907 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol908 = [1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0] pubkeycol909 = [0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1] pubkeycol910 = [1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol911 = [1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol912 = [1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol913 = [1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1] pubkeycol914 = [1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol915 = [0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol916 = [2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol917 = [2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol918 = [0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2] pubkeycol919 = [1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol920 = [2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol921 = [1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2] pubkeycol922 = [2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol923 = [2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol924 = [1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol925 = [2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol926 = [1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol927 = [0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol928 = [0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0] pubkeycol929 = [0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol930 = [1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0] pubkeycol931 = [0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol932 = [0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol933 = [1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol934 = [2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol935 = [0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0] pubkeycol936 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2] pubkeycol937 = [2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2] pubkeycol938 = [0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0] pubkeycol939 = [2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2] pubkeycol940 = [1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2] pubkeycol941 = [1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0] pubkeycol942 = [2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol943 = [2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol944 = [0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol945 = [1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2] pubkeycol946 = [0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol947 = [1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol948 = [1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2] pubkeycol949 = [1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol950 = [0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol951 = [2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol952 = [0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol953 = [0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol954 = [2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1] pubkeycol955 = [2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol956 = [0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol957 = [2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol958 = [1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2] pubkeycol959 = [2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0] pubkeycol960 = [1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol961 = [2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol962 = [2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol963 = [1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol964 = [2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0] pubkeycol965 = [2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2] pubkeycol966 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2] pubkeycol967 = [0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1] pubkeycol968 = [1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol969 = [0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2] pubkeycol970 = [2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol971 = [2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol972 = [2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol973 = [1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol974 = [0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol975 = [2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2] pubkeycol976 = [0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol977 = [0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol978 = [1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol979 = [0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0] pubkeycol980 = [2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol981 = [0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol982 = [2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol983 = [1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0] pubkeycol984 = [1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol985 = [1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol986 = [1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0] pubkeycol987 = [2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2] pubkeycol988 = [0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0] pubkeycol989 = [1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol990 = [1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1] pubkeycol991 = [0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol992 = [0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol993 = [0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol994 = [1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2] pubkeycol995 = [2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1] pubkeycol996 = [1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol997 = [0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1] pubkeycol998 = [2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0] pubkeycol999 = [2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol1000 = [0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1] pubkeycol1001 = [0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1] pubkeycol1002 = [1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1] pubkeycol1003 = [0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol1004 = [2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol1005 = [0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2] pubkeycol1006 = [0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0] pubkeycol1007 = [0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol1008 = [0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2] pubkeycol1009 = [1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol1010 = [1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1] pubkeycol1011 = [1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0] pubkeycol1012 = [0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0] pubkeycol1013 = [2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2] pubkeycol1014 = [1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol1015 = [1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol1016 = [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol1017 = [2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol1018 = [1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol1019 = [2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2] pubkeycol1020 = [0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol1021 = [1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol1022 = [2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol1023 = [1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0] pubkeycol1024 = [0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol1025 = [2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0] pubkeycol1026 = [0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol1027 = [1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol1028 = [1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0] pubkeycol1029 = [0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0] pubkeycol1030 = [2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0] pubkeycol1031 = [0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol1032 = [1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol1033 = [1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol1034 = [2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0] pubkeycol1035 = [1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1] pubkeycol1036 = [0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol1037 = [0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0] pubkeycol1038 = [1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol1039 = [1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol1040 = [0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol1041 = [1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2] pubkeycol1042 = [2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1] pubkeycol1043 = [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol1044 = [1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol1045 = [2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1] pubkeycol1046 = [2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol1047 = [0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol1048 = [0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol1049 = [1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol1050 = [2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2] pubkeycol1051 = [2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol1052 = [2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol1053 = [0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol1054 = [1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol1055 = [0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol1056 = [1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2] pubkeycol1057 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol1058 = [1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0] pubkeycol1059 = [2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol1060 = [2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol1061 = [2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol1062 = [1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2] pubkeycol1063 = [1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2] pubkeycol1064 = [0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1] pubkeycol1065 = [2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol1066 = [1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol1067 = [1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2] pubkeycol1068 = [0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0] pubkeycol1069 = [1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol1070 = [0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0] pubkeycol1071 = [0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2] pubkeycol1072 = [1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol1073 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1] pubkeycol1074 = [0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol1075 = [1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol1076 = [1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0] pubkeycol1077 = [2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol1078 = [0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol1079 = [1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol1080 = [2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol1081 = [2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol1082 = [1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol1083 = [1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1] pubkeycol1084 = [1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1] pubkeycol1085 = [2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol1086 = [0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol1087 = [1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol1088 = [0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol1089 = [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2] pubkeycol1090 = [2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1] pubkeycol1091 = [0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol1092 = [2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol1093 = [0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol1094 = [2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol1095 = [1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2] pubkeycol1096 = [0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol1097 = [1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2] pubkeycol1098 = [0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol1099 = [2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1] pubkeycol1100 = [1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0] pubkeycol1101 = [1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol1102 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0] pubkeycol1103 = [2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2] pubkeycol1104 = [2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0] pubkeycol1105 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1] pubkeycol1106 = [1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0] pubkeycol1107 = [1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol1108 = [1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol1109 = [2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol1110 = [0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol1111 = [1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol1112 = [0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2] pubkeycol1113 = [0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol1114 = [0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol1115 = [2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1] pubkeycol1116 = [0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol1117 = [0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol1118 = [2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol1119 = [0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol1120 = [1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol1121 = [2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1] pubkeycol1122 = [1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1] pubkeycol1123 = [2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2] pubkeycol1124 = [2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol1125 = [0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol1126 = [0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol1127 = [0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2] pubkeycol1128 = [1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol1129 = [1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol1130 = [1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2] pubkeycol1131 = [2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol1132 = [2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0] pubkeycol1133 = [0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol1134 = [2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2] pubkeycol1135 = [1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol1136 = [0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1] pubkeycol1137 = [1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol1138 = [0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol1139 = [0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1] pubkeycol1140 = [2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1] pubkeycol1141 = [0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol1142 = [1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2] pubkeycol1143 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol1144 = [1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol1145 = [1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2] pubkeycol1146 = [1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol1147 = [0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0] pubkeycol1148 = [0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0] pubkeycol1149 = [1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol1150 = [0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol1151 = [1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol1152 = [2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2] pubkeycol1153 = [0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol1154 = [2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol1155 = [1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1] pubkeycol1156 = [2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol1157 = [0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol1158 = [1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1] pubkeycol1159 = [1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0] pubkeycol1160 = [1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1] pubkeycol1161 = [2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1] pubkeycol1162 = [2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2] pubkeycol1163 = [1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol1164 = [0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol1165 = [1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0] pubkeycol1166 = [2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol1167 = [1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0] pubkeycol1168 = [2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2] pubkeycol1169 = [0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2] pubkeycol1170 = [1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1] pubkeycol1171 = [2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2] pubkeycol1172 = [1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol1173 = [0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2] pubkeycol1174 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1] pubkeycol1175 = [2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol1176 = [0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol1177 = [2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2] pubkeycol1178 = [0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol1179 = [2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol1180 = [1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1] pubkeycol1181 = [0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0] pubkeycol1182 = [1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1] pubkeycol1183 = [2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol1184 = [2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2] pubkeycol1185 = [2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol1186 = [1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol1187 = [2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0] pubkeycol1188 = [2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol1189 = [1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2] pubkeycol1190 = [1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2] pubkeycol1191 = [0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1] pubkeycol1192 = [0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0] pubkeycol1193 = [0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2] pubkeycol1194 = [2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol1195 = [1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2] pubkeycol1196 = [2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0] pubkeycol1197 = [1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol1198 = [2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol1199 = [2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol1200 = [2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1] pubkeycol1201 = [2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol1202 = [0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol1203 = [2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol1204 = [2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0] pubkeycol1205 = [1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol1206 = [0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol1207 = [0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol1208 = [1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol1209 = [1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1] pubkeycol1210 = [1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol1211 = [1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol1212 = [0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2] pubkeycol1213 = [0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol1214 = [0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2] pubkeycol1215 = [0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0] pubkeycol1216 = [1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2] pubkeycol1217 = [1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol1218 = [2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol1219 = [0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol1220 = [1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol1221 = [1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2] pubkeycol1222 = [0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0] pubkeycol1223 = [2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol1224 = [0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol1225 = [0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol1226 = [0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol1227 = [2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol1228 = [0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol1229 = [0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol1230 = [1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1] pubkeycol1231 = [1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol1232 = [0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol1233 = [2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol1234 = [1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0] pubkeycol1235 = [2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol1236 = [2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol1237 = [1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol1238 = [1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol1239 = [1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol1240 = [1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol1241 = [0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol1242 = [1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol1243 = [2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol1244 = [1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0] pubkeycol1245 = [0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1] pubkeycol1246 = [1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol1247 = [1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0] pubkeycol1248 = [0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2] pubkeycol1249 = [1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2] pubkeycol1250 = [0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol1251 = [1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol1252 = [2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol1253 = [2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol1254 = [0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol1255 = [2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2] pubkeycol1256 = [1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol1257 = [1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol1258 = [0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol1259 = [1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol1260 = [0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2] pubkeycol1261 = [2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol1262 = [0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol1263 = [2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2] pubkeycol1264 = [2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol1265 = [0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol1266 = [0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol1267 = [2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2] pubkeycol1268 = [1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol1269 = [2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0] pubkeycol1270 = [2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2] pubkeycol1271 = [2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol1272 = [2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol1273 = [1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol1274 = [1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol1275 = [1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol1276 = [2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol1277 = [0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol1278 = [0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol1279 = [1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol1280 = [1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1] pubkeycol1281 = [1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0] pubkeycol1282 = [1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol1283 = [0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol1284 = [1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol1285 = [0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol1286 = [1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol1287 = [0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol1288 = [1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol1289 = [0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol1290 = [2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol1291 = [0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2] pubkeycol1292 = [2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol1293 = [1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol1294 = [1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol1295 = [0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol1296 = [1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol1297 = [1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0] pubkeycol1298 = [2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol1299 = [0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol1300 = [1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol1301 = [1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol1302 = [0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol1303 = [1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol1304 = [1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0] pubkeycol1305 = [2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol1306 = [1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol1307 = [2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol1308 = [1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol1309 = [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol1310 = [0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2] pubkeycol1311 = [0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0] pubkeycol1312 = [1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol1313 = [2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol1314 = [2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0] pubkeycol1315 = [0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol1316 = [2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1] pubkeycol1317 = [1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2] pubkeycol1318 = [0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol1319 = [2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0] pubkeycol1320 = [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol1321 = [2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1] pubkeycol1322 = [1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2] pubkeycol1323 = [0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol1324 = [1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol1325 = [2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2] pubkeycol1326 = [2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2] pubkeycol1327 = [0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2] pubkeycol1328 = [1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1] pubkeycol1329 = [2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol1330 = [1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2] pubkeycol1331 = [0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol1332 = [1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol1333 = [2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol1334 = [2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol1335 = [0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1336 = [1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2] pubkeycol1337 = [2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol1338 = [1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol1339 = [0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2] pubkeycol1340 = [0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0] pubkeycol1341 = [0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2] pubkeycol1342 = [2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol1343 = [1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2] pubkeycol1344 = [1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol1345 = [2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol1346 = [1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol1347 = [2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol1348 = [2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2] pubkeycol1349 = [1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol1350 = [2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol1351 = [1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol1352 = [0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol1353 = [0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1] pubkeycol1354 = [1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol1355 = [1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol1356 = [0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol1357 = [0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol1358 = [2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol1359 = [0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol1360 = [1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2] pubkeycol1361 = [1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1] pubkeycol1362 = [1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol1363 = [1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2] pubkeycol1364 = [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1] pubkeycol1365 = [1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1] pubkeycol1366 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol1367 = [1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol1368 = [2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol1369 = [1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol1370 = [2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol1371 = [1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0] pubkeycol1372 = [0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol1373 = [1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol1374 = [1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol1375 = [0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0] pubkeycol1376 = [2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol1377 = [0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1] pubkeycol1378 = [1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol1379 = [2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol1380 = [2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2] pubkeycol1381 = [1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol1382 = [1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol1383 = [2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol1384 = [2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol1385 = [2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol1386 = [0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol1387 = [1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2] pubkeycol1388 = [1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol1389 = [2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol1390 = [1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol1391 = [0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol1392 = [1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2] pubkeycol1393 = [1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2] pubkeycol1394 = [0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2] pubkeycol1395 = [0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2] pubkeycol1396 = [1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0] pubkeycol1397 = [2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1] pubkeycol1398 = [0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2] pubkeycol1399 = [2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0] pubkeycol1400 = [0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol1401 = [1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol1402 = [2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol1403 = [2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2] pubkeycol1404 = [1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol1405 = [2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1] pubkeycol1406 = [1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol1407 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol1408 = [2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1] pubkeycol1409 = [2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol1410 = [2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol1411 = [1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol1412 = [1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol1413 = [0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol1414 = [2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol1415 = [0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol1416 = [2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2] pubkeycol1417 = [1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol1418 = [0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2] pubkeycol1419 = [2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol1420 = [0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol1421 = [1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol1422 = [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1423 = [2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol1424 = [0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2] pubkeycol1425 = [2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol1426 = [0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol1427 = [1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1] pubkeycol1428 = [2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol1429 = [2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1] pubkeycol1430 = [2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1] pubkeycol1431 = [0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol1432 = [2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol1433 = [1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol1434 = [0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol1435 = [0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0] pubkeycol1436 = [0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2] pubkeycol1437 = [1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0] pubkeycol1438 = [0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1] pubkeycol1439 = [2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2] pubkeycol1440 = [1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol1441 = [0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol1442 = [0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0] pubkeycol1443 = [0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol1444 = [2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol1445 = [0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol1446 = [1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1] pubkeycol1447 = [2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol1448 = [2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol1449 = [2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol1450 = [1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol1451 = [1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0] pubkeycol1452 = [0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol1453 = [2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol1454 = [0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol1455 = [1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2] pubkeycol1456 = [1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol1457 = [2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol1458 = [0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol1459 = [2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol1460 = [2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol1461 = [0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol1462 = [2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol1463 = [0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol1464 = [0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1] pubkeycol1465 = [2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol1466 = [0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1] pubkeycol1467 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol1468 = [0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol1469 = [0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol1470 = [1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2] pubkeycol1471 = [0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol1472 = [0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol1473 = [0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol1474 = [0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol1475 = [2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2] pubkeycol1476 = [2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol1477 = [2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2] pubkeycol1478 = [2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol1479 = [1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol1480 = [0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol1481 = [2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2] pubkeycol1482 = [2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol1483 = [1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol1484 = [2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1] pubkeycol1485 = [2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol1486 = [0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2] pubkeycol1487 = [2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol1488 = [1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol1489 = [0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol1490 = [0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0] pubkeycol1491 = [0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1] pubkeycol1492 = [0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol1493 = [0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2] pubkeycol1494 = [0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0] pubkeycol1495 = [0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol1496 = [2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2] pubkeycol1497 = [2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1] pubkeycol1498 = [2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol1499 = [2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2] pubkeycol1500 = [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1] pubkeycol1501 = [0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1] pubkeycol1502 = [2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol1503 = [1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2] pubkeycol1504 = [2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol1505 = [0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1] pubkeycol1506 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol1507 = [0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol1508 = [1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2] pubkeycol1509 = [2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol1510 = [0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol1511 = [2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1] pubkeycol1512 = [1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol1513 = [0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2] pubkeycol1514 = [0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1] pubkeycol1515 = [1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0] pubkeycol1516 = [1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol1517 = [0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol1518 = [0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol1519 = [0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol1520 = [1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol1521 = [0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol1522 = [1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol1523 = [0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol1524 = [0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol1525 = [2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol1526 = [1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol1527 = [1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0] pubkeycol1528 = [0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0] pubkeycol1529 = [1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol1530 = [2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol1531 = [1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol1532 = [0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2] pubkeycol1533 = [1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2] pubkeycol1534 = [1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol1535 = [2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol1536 = [0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol1537 = [0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1] pubkeycol1538 = [0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2] pubkeycol1539 = [0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol1540 = [2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol1541 = [0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol1542 = [1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol1543 = [2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol1544 = [2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2] pubkeycol1545 = [2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol1546 = [2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1] pubkeycol1547 = [0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2] pubkeycol1548 = [2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol1549 = [1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol1550 = [1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol1551 = [2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol1552 = [0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0] pubkeycol1553 = [0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0] pubkeycol1554 = [1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol1555 = [0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0] pubkeycol1556 = [1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0] pubkeycol1557 = [0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol1558 = [0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0] pubkeycol1559 = [1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol1560 = [1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol1561 = [1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol1562 = [0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol1563 = [0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol1564 = [2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2] pubkeycol1565 = [0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2] pubkeycol1566 = [0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol1567 = [1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol1568 = [2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol1569 = [2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1] pubkeycol1570 = [0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2] pubkeycol1571 = [1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol1572 = [1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol1573 = [2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1] pubkeycol1574 = [0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol1575 = [0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol1576 = [0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol1577 = [1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol1578 = [2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol1579 = [0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2] pubkeycol1580 = [1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1] pubkeycol1581 = [0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol1582 = [0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol1583 = [2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol1584 = [2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1] pubkeycol1585 = [2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0] pubkeycol1586 = [2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol1587 = [2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1] pubkeycol1588 = [1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol1589 = [2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol1590 = [0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0] pubkeycol1591 = [0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2] pubkeycol1592 = [1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol1593 = [1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol1594 = [2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol1595 = [0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol1596 = [1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol1597 = [2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol1598 = [1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2] pubkeycol1599 = [1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol1600 = [1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1] pubkeycol1601 = [1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0] pubkeycol1602 = [1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol1603 = [2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2] pubkeycol1604 = [0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol1605 = [2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0] pubkeycol1606 = [0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol1607 = [2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2] pubkeycol1608 = [0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol1609 = [2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol1610 = [1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2] pubkeycol1611 = [0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol1612 = [0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2]